Just sometimes, you see a 'q' in a word, thus I propose we take it out of the alphabet, for giving it the same status as 'e' seems wrong. Seriously? Yes I realize the logical fallacy I am making, but the argument you are making is ridiculous. My "just sometimes" is still A COMPLETELY VALID FUNCTION. There is NO need to call it a caveat (and by no need, I mean it is not a caveat) when it, in every single way, fits the definition of a function. I am sorry for using the words "just sometimes" though to express something that can vary, kinda like a 'q' being in a word. "Yes son, q is a letter, I realize that most words don't have it, but sometimes you come across a word that actually does, like 'quiet' for example." A function has a very specific definition, and f(x)=2 is a function. It is not a one-to-one or onto function, but it is a function nonetheless.
What we call fTP in regards to WSes today is a function of TP, in every definition of the word function. I really dunno shit about BLU, so I can't comment on that, but it's hardly a reason to complain about 100% accurate terminology in how WSes function.