But within PADI you can't test for an understanding of it or deny certification to anyone who, for whatever reason, fails to understand it. All you can do is add it in a sort of, "be nice if you knew this," sort of way. Correct?
Mumble, mumble, mumble.... kind of, depends on how you interpret the standards.
There are standards that require a student to surface with a safe reserve. As far as I am concerned, that means to me that they need to be able to work at pressure they should leave the bottom.
I'd have to dig out my instructor manual to work out which standards apply to which courses - I'm not sad enough to have memorised them all. But there are standards at OW that I would quite happily use to deny certification if the student couldn't do some basic gas management. Unfortunately, the same standards can (and often are) interpreted as "be back on the surface with 50 bar".
I always thought the rule of thirds, in a situation where it is necessary (you have to get back to the starting point before ascending) wasn't that conservative. Granted, it accounts for the possibility your buddy runs out of air at your maximum point, but it doesn't take increased SAC rates into account.
Straight thirds can either be conservative or aggressive depending on cirumstance... "thirds of usable" is a bit different. Firstly, work out the minimum amount of gas you need to make a safe ascent with two divers breathing of the same tank. Deduct that amount from your fill pressure - - this is your usable gas, then do thirds on that.
How you manage usable gas depends on the dive - so if you *must* return to the start point then you do thirds, if it's kinda nice but you can cope if you don't then turn pressure is half of usable. If it really doesn't matter and you can finish the dive anywhere, then your turn pressure is your minimum gas reserve.
I tend to encourage new divers to use thirds where I would use halves, and halves where I would use all usable.