Yes, absolutely. It was one of the very first things I learned through experience, as well.
Keycaps definitely impact switch-feel, and there are some combinations that are better than others. There is no “one true keycap.” Even the most sub-mediocre keycaps can be useful. Barely-straight thick Chinese PBT is often the best keycap for silent switches and Niz domes alike.
Browns hate thick PBT most of the time, although ePBT isn’t so bad. Browns like thick [super-thick] ABS and thin PBT, needs to be esp. thin if it’s double-shot.
I’ve stopped recommending meetups as a priority for newbies, because you aren’t likely to learn this through cursory examination at a meetup. You’ve got to test it on your own keyboards.
As you said, it depends on your goals, another reason why there is no “one true keycap.”
I use SA-like profiles to dull switches that are too heavy with Cherry. MT3 is on my Ergo Clears, U4T, T1, and Holy Boba, and MG profile on RARA stems.
Good point about the stock Filco caps. I’ve got them filed deeply away, but they would be good on some light tactile TKL or something. Even an Aurora, if ran tactiles.
I expressly bought Tai Hao with the intent of using them on my ART BOX Brown board.