TDI does not promote 80%, it's the choice of the instructor. From what I've seen there are essentially two camps in TDI, one using 36/80 and the other with 50/100, generally speaking. If your instructor is pushoing 80% you should ask why and at least have him explain the benefits/drawbacks of 80 vs. 100. I have always found that the benefits of 100 outweight any perceived benefits of 80.
And rjack is right, "nitrox" can mean 22% or 95%. Colored regs don't mean anything at depth (ROYGBIV) or in low vis. Your best bet is to clearly mark MOD and have a solid gas switching protocol that eliminates the possibility for confusion. Just my .02.