Hi LetThaWookieeWin,
Excellent question. The game would fundamentally change because we would no longer have the pawn structures we are used to, which are shaped and defined by the fact that when two pawns meet head on they lock themselves into position until one of them is captured by an adjacent pawn or piece. Having the ability to capture forward with a pawn would greatly increase the potential to open board, thereby increasing the value of the bishops relative to the knights (which are currently useful for their ability to hop over locked pawn structures). I don't know if it would be unplayable or unfair, but I do think it would be a fun variant to try.
Thanks for your post!
I was teaching a person chess and they asked why pawns don't attack the way they move, as all other pieces do. I agreed that the rule seems unintuitive enough (from the perspective of a new player and game development in general) that there probably was a good reason. I said that my best intuition is that it would give the opening player some undue advantage but I couldn't think through exactly how at the time. From my limited research, I found that pawns have attacked like that since before chess even existed (like in precursor games like chaturanga). Because of that, I imagine there's no historical record of when and why pawn attacking rules were developed as they are. However, does anyone know if it's the case that if pawns attacked forward one square instead of diagonally, though we could also consider in addition to, the game would be unfun or unplayable (e.g., guaranteed win for white or heavy advantage; quick, forced draws, etc.)?