The thought in intro is that if you use a single you discourage divers from going too far back in a cave. Keep in mind in intro you have a h valve, so redundant 1sts, and tank o rings are extremely rare. Even then your buddy has 1/3 of a tank rserved for you. On the other hand if you use doubles you can go way back, be it on 3rds or 6ths. So they want to make sure you get fully trained as they know you will push the limits.
Yeah, and how do they police this once you have the card? They don't and can't.
So what's the point, exactly? If you HAVE doubles, why not USE doubles?
Sounds like perhaps I won't be doing the class any time soon.... I ain't gonna buy valves just for this reason - I already own doubles, and I sure as heck ain't diving a single with a regular valve in an overhead.