Well, it's not the most interesting take on the jam, especially when you managed to make a 1-button game, which is harder. I'd rather see updates and enhancements to 1 button games than see them transformed in 2 button games if possible :D
But if you feel your game didn't feel right with 1 button and that it would be better with 2 buttons, you can go for it! I guess you'd have to submit and second game though, or remove it from the 1 button entries maybe?