Based off my own squad, I tend to think it does matter. My three premier perimeter players, Pou, Srour and Marrinan, all have fairly similar rebound numbers over the past two seasons. Marrinan plays SF, the other two are guards. That said, Pou and Srour have markedly better rebounding skill than Marrinan does, but their rebounding numbers are still similar.
Obviously this is just one case, but it reinforces how I suspect rebounding works. My expectation is that there's some algorithm that divides rebounding up by position, especially given the point by a previous poster that the "team rebounding" stat weights the center and PF much heavier than the other positions. My thought is that it goes something like this.
The numbers obviously aren't right, but for the sake of argument here- out of the 100% of rebounds a game...
-45% of them are a toss-up between the center position
-35% between the PF position
-10% between the SF position
-5% between SG and PG each
Again, there's variability to those percentages that because that's how the game works (there might be a game where PF gets 65% of the rebounds), but say there are 100 rebounds a game, and you have a player with 10 RB. At center, your opponent has a 14 RB, and at PG, your opponent has a 2 RB. Your player should get more rebounds at the center position because there's likely to be more opportunities for rebounds there. That said, at a position with less premium rebounders, like if you played him at PG here, he'd get less rebounds, but a higher percentage of the rebounds that go his way.
Anyways, just my opinion. Hopefully that makes sense and helps some.