No. Like anything else, TUT is relative to a large variety of other factors. The higher the TUT; the lower the intensity (%1RM) of the exercise. If you regularly do 3 sets of 10 but switch to 5 sets of 1 for a few weeks, then your TUT will decline dramatically, but your maximal strength should increase. The only way to match the TUT would be to do 30 sets of 1... Not hapenning.

TUT is really self-regulating if you keep rep speeds consistent. I think too many try to pay too much attention to things like TUT, percieved exertion, and strict adherence to set/rep schemes and even set/rep/intensity schemes when they should really just be paying attention to what the main focus of any resistance exercise is: working the muscle. If you truly understand how a muscle works and how your body adapts, then all the rest of it is just background noise.