This currently only works on the Switch version of Star Fox 1, but you can re-map the buttons to give the game controls from Star Fox 2. And you can also swap the L and R buttons to be the cushy ones while you're at it.

Go into the Switch's Options menu to change the controls. Rotate each face button once so Shoot is B, Boost is Y, Bomb is X, and Slow Down is A, then select Control Style A on the Main Menu. The game will now play like Star Fox 2's Control Style A. Remember, if you did it correctly, X should choose things in the Switch Main Menu. If B chooses things, you rotated them in the wrong direction, so Reset and try the other way. If you get it correct, Save the controls in 1 of 5 Save Slots. You will now have Star Fox 2 Controls, the best controls you can have in Star Fox 1- and it's currently only on the Switch version.