Just Bob

Apparently, the OP decided this was not worth pursuing further. Shame. I was looking forward to seeing the pictures.

In Hoghead's thread on tax tokens (Link Here), Cladking mentioned tokens that were issued as change for food stamp purchases. I though I would post a few of the ones that I have.
As you can see, while the same reverse design was used on all of the examples - with only the denomination being different - the obverse designs varied quite a bit. Some stores used only their name, while others included the city name, their address, or even a logo.
The purpose of the tokens was to prevent change received from food stamp transactions from being used for non-acceptable purchases (alcohol, tobacco, pet food, etc.), by replacing the change from a purchase with a token that could also only be used for approved items. The tokens were color coded, to make it easier for persons who could not read, or persons who were not fluent in English.
 

I didn't really realize how many tokens I had. Some new some old, some just dumb copies. But here you go.

Teddy Roosevelt token.

LANZERS trade token.

Transit tokens. One from New Orleans, La;  one from Coral Gables, Fl; one from San Francisco, Ca.

Do not know origin of this token.

Houma Cypress Company Ltd trade tokens. Houma, La, Terrebonne Parish.

The few towns that I know of that are named 'Sidings' are next to a railroad siding. (pass). They usually stay as small towns. I guess that Sidings grew into a Junction. ---- I hope your token is unique, Just Bob.

I see it is taking a slight detour Down South. I only live an hour and a half from Jackson. Maybe it is headed to my house
 

Looks way off, to me. 

Welcome to the forum.
As noted, all three of your coins are large date varieties. Here is a picture that I "borrowed" from one of the other members here, that will show you a comparison of the large and small dates. The easiest differences to see are the shape of the "8" and "2," and the distance from the base of the "2" to the rim.
 

Flynn says that there were two reverses used with that obverse die, and that die #2 has an "incomplete D."

Is that Longacre doubling?

I see it is taking a slight detour Down South. I only live an hour and a half from Jackson. Maybe it is headed to my house
 

I see it is taking a slight detour Down South. I only live an hour and a half from Jackson. Maybe it is headed to my house
 

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.