Not sure if its taught in the higher end cave or tech courses, but i havent seen much in the way of UW repair pushed by the tech agencies. I recall hearing something about GUE wanting bolts to be finger tight so you could pull off a second stage, now that has evolved to having them lightly wrench tight and taking a tool with you. Personally i can take off the front cover of my 2nd stage, diaphragm and clean it out if neccessary, but what else do you really want to do UW to clean up or fix a reg - as far as i could tell the cave ring was just a nice way of taking off the face of the B2, some regs are just easier to do that with - such as my Zeagle ZX 2nd's and i am sure others are also easy enough. As for reg malfunctioning, this is the reason you have a backup and a buddy, protocols and gas reserves, just in case the brown stuff hits the spinning thing.
As for regs, all i can say is get some that are DIN, one 2nd on each 1st (have 2 1st's), get a long hose and bungee your backup around your neck. Some regs dont accept long hoses or have funny connections that make it tough or require an adapter, at least some Mares ones i saw. I did hear once about using pistons for your stages in case you had to swap over regs between bottles as they would accept flooding better than a diaphragm, but again that might be an old wives tale or something that is beyond the scope of most people's desires.
So what courses are you doing, are you looking for recommendations on regs to buy, just due to the pulling apart idea or because you would like to get a cave dedicated set?