None of the above ... for me.
I just use whatever sound I need, so whatever hand is best to achieve that sound, then that's the hand I use.
I do think it's good that you flip things around, especially on drums that favor one sound with one particular hand. I do this with all my hand drums, being to lead with either hand and play any tone with either hand. Well ... all except tabla.

I tend to think of it like a piano in that you don't go mixing the keys up or reversing the direction of the pitch contour. So left hand is on bayan, right hand on dayan.