Just Bob

Doubled dies are not caused by engravers or the engraving process, except possibly in the case of Class III (Design doubling, caused by re-hubbing a die with a different design - example: 1960D cent Small over Large date) or Class VII ( Modified Hub Doubling, caused when a hub is used to form a die, then repaired or otherwise modified, and re-impressed into the same die). Neither of these would be considered "intentional errors," at least in my opinion. Nor would any other of the other classes.
As for your second question in the title: I suppose the Mint does not categorize their errors because they don't like to admit that they make mistakes
I am not sure what your first question, about whether errors should be errors, actually means. 
A word of advice: be careful about using Youtube videos as a source of information. Many, if not most, videos about coins are designed to get views, not educate.
And, Welcome to the Forum  

Have you received your free onion yet?
 

Have you received your free onion yet?
 

Have you received your free onion yet?
 

That's a Martha Stewart dollar. "Place in a preheated oven. Bake at 350 degrees for one hour."

In my opinion, although the Barber design is not the prettiest I have seen, it still retains its classy look, even when worn. I like that.
Nice pick-up!

That's a Martha Stewart dollar. "Place in a preheated oven. Bake at 350 degrees for one hour."

The previous post was about Lorenzo Batson, who was the brother of this week's subject: Randolph Batson. 
In 1883, the two brothers built a store in Hillsdale, Mississippi, to serve the workers who were building the new roadbed for the Southern Railway. As they prospered, they began buying tracts of virgin timber. In 1893, the partnership was dissolved, and L.B moved to Millard (see previous post.) Randolph remained in Hillsdale and continued to purchase timberland, eventually owning 100,000 acres in Mississippi, and another 20,000 in Florida. In 1910, he established the Southern Lumber and Timber Company in Hillsdale, a token of which is shown in the very first post in this thread. That mill burned in 1922. In 1924, he joined with N.P. and W.H Hatten to purchase the sawmill of  the Ingram-Day Lumber Company, and with it, the sawmill town of Lyman, MS. At full capacity, the Batson & Hatten mill produced 200,000 board feet of yellow pine lumber per day, and employed 500 hands. (The town of Lyman still exists today. It is located just north of Gulfport, on Highway 49.)
"Ran" Batson was an influential figure in southern Mississippi, and was instrumental in replanting the forests after all of the virgin timber had been cut. At the time of his death, he owned 14,000 acres which had been replanted in pines, and stocked with deer and other wildlife, along with other pieces of property throughout south Mississippi.
The octagonal lumber company tokens are known in denominations of $.05, $.25, and $1; The round mercantile tokens are known in these denominations, plus a one cent token. No ten cent tokens are known for either.
 

The previous post was about Lorenzo Batson, who was the brother of this week's subject: Randolph Batson. 
In 1883, the two brothers built a store in Hillsdale, Mississippi, to serve the workers who were building the new roadbed for the Southern Railway. As they prospered, they began buying tracts of virgin timber. In 1893, the partnership was dissolved, and L.B moved to Millard (see previous post.) Randolph remained in Hillsdale and continued to purchase timberland, eventually owning 100,000 acres in Mississippi, and another 20,000 in Florida. In 1910, he established the Southern Lumber and Timber Company in Hillsdale, a token of which is shown in the very first post in this thread. That mill burned in 1922. In 1924, he joined with N.P. and W.H Hatten to purchase the sawmill of  the Ingram-Day Lumber Company, and with it, the sawmill town of Lyman, MS. At full capacity, the Batson & Hatten mill produced 200,000 board feet of yellow pine lumber per day, and employed 500 hands. (The town of Lyman still exists today. It is located just north of Gulfport, on Highway 49.)
"Ran" Batson was an influential figure in southern Mississippi, and was instrumental in replanting the forests after all of the virgin timber had been cut. At the time of his death, he owned 14,000 acres which had been replanted in pines, and stocked with deer and other wildlife, along with other pieces of property throughout south Mississippi.
The octagonal lumber company tokens are known in denominations of $.05, $.25, and $1; The round mercantile tokens are known in these denominations, plus a one cent token. No ten cent tokens are known for either.
 

Nice group of Jeffersons. 

Nice group of Jeffersons. 

With the terrible pictures, I am betting the seller knows exactly what he/she is selling. I am a cynic in these matters, though.

The '58D looks gold plated or maybe painted gold.

Try acetone. Short soak, then a flowing rinse. 

With the terrible pictures, I am betting the seller knows exactly what he/she is selling. I am a cynic in these matters, though.

Nice group of Jeffersons. 

Reported both items to Ebay.
Other than that, I do not know what can be done.

Reported both items to Ebay.
Other than that, I do not know what can be done.

Would you mind explaining how you determined this?

Great pics - great coins!

Great pics - great coins!

I waited until I could view the coin on my laptop before answering. My phone pictures weren't good enough for me to feel comfortable offering an opinion.
It's a pretty coin, to be sure, but I would like it better in a 65 holder. I agree with Mark about the cheek.
Here's an idea: see if you can get it for 65 money, then send it to NGC for grade review, in hopes of getting it in a 65 holder, then send it to CAC for a green bean. 

History by Gil Hoffman:
On March 21, 1900, L. B. Batson and Henry T. McGehee bought the sawmill plant and timber holdings (amounting to 2,880 acres) of R. B. Haney at Millard, Pearl River County. This mill had been built in 1896 and was logged by oxen. For about a year Batson and McGehee operated the Haney mill as a co-partnership under the name Caledonia Lumber Company. The co-partnership was succeeded by the Batson-McGehee Company which was incorporated at Millard on September 19, 1901, by L. B. Batson, of Columbia; Henry T. McGehee, of Millard, and Nathaniel Batson, of Poplarville, with authorized capital stock of $30,000. A new circular sawmill with a cutting capacity of 50,000 feet per day was built at Millard to replace the old Haney mill. In later years this mill was changed to a band type. In the spring of 1902 a standard gauge logging railroad was constructed to log the mill. The mill finally shut down in early 1940.
Pictured below are two of the companies Shay locomotives, with their trademark side-cylinder engines.
Batson-McGehee No. 1 sat behind the commissary in Millard after the mill shut down, and was bought by Goodyear Yellow Pine in 1943. It is shown here in Millard about 1940.
Batson -McGehee No 2 is pictured at the manufacturing yard in Lima, Ohio
Tokens were issued in denominations of 5 cents through one dollar. All issues are listed as R9 (2 to 3 known.)

History by Gil Hoffman:
On March 21, 1900, L. B. Batson and Henry T. McGehee bought the sawmill plant and timber holdings (amounting to 2,880 acres) of R. B. Haney at Millard, Pearl River County. This mill had been built in 1896 and was logged by oxen. For about a year Batson and McGehee operated the Haney mill as a co-partnership under the name Caledonia Lumber Company. The co-partnership was succeeded by the Batson-McGehee Company which was incorporated at Millard on September 19, 1901, by L. B. Batson, of Columbia; Henry T. McGehee, of Millard, and Nathaniel Batson, of Poplarville, with authorized capital stock of $30,000. A new circular sawmill with a cutting capacity of 50,000 feet per day was built at Millard to replace the old Haney mill. In later years this mill was changed to a band type. In the spring of 1902 a standard gauge logging railroad was constructed to log the mill. The mill finally shut down in early 1940.
Pictured below are two of the companies Shay locomotives, with their trademark side-cylinder engines.
Batson-McGehee No. 1 sat behind the commissary in Millard after the mill shut down, and was bought by Goodyear Yellow Pine in 1943. It is shown here in Millard about 1940.
Batson -McGehee No 2 is pictured at the manufacturing yard in Lima, Ohio
Tokens were issued in denominations of 5 cents through one dollar. All issues are listed as R9 (2 to 3 known.)

History by Gil Hoffman:
On March 21, 1900, L. B. Batson and Henry T. McGehee bought the sawmill plant and timber holdings (amounting to 2,880 acres) of R. B. Haney at Millard, Pearl River County. This mill had been built in 1896 and was logged by oxen. For about a year Batson and McGehee operated the Haney mill as a co-partnership under the name Caledonia Lumber Company. The co-partnership was succeeded by the Batson-McGehee Company which was incorporated at Millard on September 19, 1901, by L. B. Batson, of Columbia; Henry T. McGehee, of Millard, and Nathaniel Batson, of Poplarville, with authorized capital stock of $30,000. A new circular sawmill with a cutting capacity of 50,000 feet per day was built at Millard to replace the old Haney mill. In later years this mill was changed to a band type. In the spring of 1902 a standard gauge logging railroad was constructed to log the mill. The mill finally shut down in early 1940.
Pictured below are two of the companies Shay locomotives, with their trademark side-cylinder engines.
Batson-McGehee No. 1 sat behind the commissary in Millard after the mill shut down, and was bought by Goodyear Yellow Pine in 1943. It is shown here in Millard about 1940.
Batson -McGehee No 2 is pictured at the manufacturing yard in Lima, Ohio
Tokens were issued in denominations of 5 cents through one dollar. All issues are listed as R9 (2 to 3 known.)