I'm left handed, but I started on a right handed kit and have a well trained right foot thats better than my left.. Lets just say I made a funky looking setup with everything on the left side of the BD. No cymbal was spared.
The "normal" lefty setup makes more sense to my brain though, at least in terms of orientation. Everything is placed well to where my brain can adapt without having to think about much, just have a weaker lead foot, even after 10 years of playing this way.
Playing open handed on a right handed kit is no bueno. Besides having a Hi hat, ride, and snare on the left side, anything placed to the right of the snare makes zero sense in my brain.
I know theres drummers like Louis Cole that can do it well, but it just pisses me off leading into the toms, ride, crash or alt cymbals on the right. I don't feel comfortable switching off my hands, its not natural.
tl;dr: lefty drummer but foot doesn't wanna play nice.