Going to have to say here, Ron... I think you're reaching on this one. If you want, email me.
False front is just as descriptive a term as anything else in golf. I cannot say that I agree that on uphill holes the green was mowed just to put it in view... Willie Park's one uphill green on the White Course at PSU (today's 7th) is and was mowed significantly down the hill and could very well be called a false front. The putting surface which is pinnable is not visible from the tee, and the green was designed and cut much lower than for simple identification purposes.
Would you prefer them to be called rolled fronts?
Why call them bunkers when sand trap is just as good? 99.9% of them are filled with sand anyway, if you want specific we can all say sand bunker and grass bunker....
False front is far far far less offensive than many of the other terms in golf.
A tee can also be a wooden plank upon which the ball is set. It can also refer to the tee box, which has two meanings to different people - either the surface upon which the tee is placed (aka the teeing ground) or the area between the tee markers which denote the "in play" area for the teeing ground for the day.
As per the rules, everything "through the green" are all parts of the golf course with exception of bunkers and hazards. The putting green is a closely mown area upon which the player may mark, lift, clean and replace his ball without penalty.
The terms green complex, tee complex and bunker complex are more specific than simply mentioning green, tee and bunker. You asked for more specific and clearer terms and you got them.
As for the people who use them, shoot the archer, not the arrow.
I do agree that the term putting green and green should carry two meanings, and I'd much rather here the putting greens referred to as putting surfaces because the word green is misleading. They are surfaces upon which a game is played, not plants at which to look.
All this with a big wink and tongue firmly planted in cheek. Your lexicographic legerdomain has me stumped.