Is there such an animal as a False Multiple Technical?

[just another ref]

Originally Posted by Jurassic Referee

If anybody hollers at you that a team has 6 on the floor, would anybody with even the tinest amount of experience and rules knowledge not count the players before blowing his whistle? Any putz that doesn't is walking on thin ice imo.

I'm thinking the guy mentioned above is gonna indicate that he did count before the whistle, whether he actually did so or not. If he then counts again, ostensibly to double check, I really don't see how anybody could complain.