OK, I've signed up for a cavern class and got some stringent feedback from the instructor and its a little different than what I'm reading here (from other instructors) so maybe you guys can set me straight.
Intro limits you to 1/3 of a single and by definition to 1/6 of doubles, this has everything to do with penetration limits being the same regardless of singles or doubles (GDI covered this). The doubles should not allow you to penetrate deeper than a single, but its OK to
learn on doubles, correct? Also, singles for intro require an H-valve and two DIN first stages, correct? The regs are apparently the issue, since singles with H-valves are supposed to be easily rented in cave country.
Now for the main question. I was told that regardless of whether you trained for Intro on doubles, you are still 100% restricted as an intro diver to diving
only singles. Only with a special exemption card are you allowed to dive doubles in a cave as an intro diver without an instructor, and this exemption is totally at the descretion of your instructor to determine if you are (1) safe with doubles and (2) if he believes you'll abide by the 1/6 rule. Did I misunderstand something? How common is this exemption?
FWIW, I was told to learn cavern (and later intro) with singles and when it comes time to doubles to learn that separately in open water before trying to apply that to cave diving, besides I'd have to get to apprentice (?) before I could actually dive caves with doubles anyway so there is no reason not to take my time. Then again, I'm obviously clear back at the "walking before running" stage.