In this related question I see that en passant and two-square first move for pawns were introduced together between 1200 and 1600. What was the reason for adding these rules? Put another way, has the variant of chess without the two-square first move rule been studied and found to be less interesting or enjoyable?
The purpose of the two space first move rule was to speed up the game, and the (military) theory behind it was that soldiers leaving "camp" and marching to the "battlefield" could march at double "time" (speed) before the actual fighting began.
The one thing that could prevent this was an enemy pawn on his fifth rank (your fourth) adjacent to the marching pawn (soldier). Think of your soldier as being "ambushed" by the enemy en passant on the way to taking up his designated position on the battlefield. He never arrives there, even though his marching orders tell him to march two squares in one move.
Not having these rules would make for a slower game.
I STILL can't just comment on questions, and this absolutely isn't sufficient enough to be considered an answer, but anyways: the game Indian Chess (a slight variant of traditional chess) is played without the initial two-square pawn move. According to the Wikipedia article it lost popularity in the 1960s, but perhaps if you looked for more information you could find evidence supporting that this variant was "less interesting or enjoyable." If that is the case.
Wikipedia article can be found here: https://en.m.wikipedia.org/wiki/Indian_chess