Don't crucify me for what I'm about to say, but I think Ovechkin would be better off playing RW at this point of his career. His puckhandling deteriorated over the years but being on the right side would make it easier for him, as most of the puck touches would be on the forehand. His backhand passes aren't that great but he dishes the puck much better on his forehand. He can also cut to the inside and toe drag around the D more easily coming from the right side on his forehand.
It would also help for puck battles, it's easier to intercept passes on the boards when the board is on your stick side. Besides, it's not like he takes a lot of one timers at ES.
Before you ask it, no I'm not Adam Oates.