Over the decades, I've worked at three of today's major TPGS (not PCGS) plus two others. Therefore, I'll write that your post is the most ignorant opinion I've read this year! This thread started as a disaster in the making and crashed with your comment.
Obviously, you are unaware of the fact that some of the professional authenticators at ANACS and ICG have been detecting fakes long before some of the experts at the top two services were out of school! With the exception of Rick Montgomery, most of the top professionals at NGC and PCGS began as coin dealers. Enough said. Thankfully, over time, those ex-dealers at the top two services have gained the respect of their peers when they became extremely good at what they do. So today, there is very little difference between the pool of expertise at all four major services. Still, for some reason - I can think of a few possibilities - the experts at PCGS and NGC have EACH slabbed more fakes as genuine than both ANACS and ICG combined! That's what makes your post totally uninformed.
As to this thread. Quit playing games. WHAT IS THE COIN! That makes a big difference. Some coins are better sent to one service while the other service is better at authenticating other types. As to detail grading vs straight grading the same coin - it happens ALL THE TIME. In my experience, ICG and ANACS tend to be less forgiving for cleaned or damaged coins.
This is the NGC forum. Otherwise, I would tell you the very simple solution to your question. Since I cannot do that, I advise the OP to call NGC and ask to speak to Rick. Lay out the case in ONE MINUTE and ask him what you should do - he is a busy person. I think you'll be satisfied with the result.