Yes, I think you would, and it's good to be sceptical.... I would bet you would have a bigger difference in sound with two different guitar players taking turns on the exact same rig, or at a concert and stand front and center in the crowd, then off to the side. ...
But let me propose a 'thought experiment'. Suppose a drummer changes the skins on her snare-drum from the usual plastic (or whatever it is) to strong paper (like a speaker cone). Now imagine hitting that snare when that paper is 'dry and crisp' compared to 'damp and soggy' - I bet it would sound different! (Let's not worry about the paper splitting for now.)
Maybe someone could try it!