The use of which eye on a camera typically stems from which is your master eye i.e. which eye dominates which can easily be determined. I am right handed but left eye dominate. I use Motor drives on my Nikons and Leica's so I don't have to move the camera from my face to wind. No problem. It's a little harder shooting a shotgun but I mamage as long ago I tried to switch to left handed but it just didn't work.
I don't know the % of left/right eye dominate but it really deosn't matter because I don't know of any way to change the dominance.
Dominant Eye Test -Dick