Even at a GM level, the ability to find short tactical sequences of just 2 or 3 moves is very important. Not always on the board, also in future positions... in other words finding a 2 move combination that exists 5 moves deep that refutes (or validates) your strategic idea.
I think it was Botvinnik who said after a tournament that he needed to work on seeing short combinations.
Right but part of the game is to make sure they don't happen and even 1500 players are pretty good at that, at least when they are matched with players at a similar level.
I hear you. When I was 1600 my plan was to just wait for a mistake (cherub tells a similar story). So when I faced other 1500 and 1600s, the games at most seemed to have 1 tactical mistake. All the time I was getting equal endgames where neither of us had blundered anything.
Right now I'm below 2000, but when I was 2000 vs other 2000 opponents, if you look at my games, there missed tactical opportunities all the time, for both players.
Well, if "the 1500 level" means both players willingly trade most of their pieces off as soon as possible, then yes, it's not going to come up at the 1500 level, or any level for that matter.
But every one of those exchanges is what stockfish would have done in that position. Try exchanging pieces with stockfish and see what happens.