So what you envision of Ovechkin on the right wing is tap in goals, 1 on 1 breakway in the slot goal(coming from the left), and just getting on the ice on a line change and scoring thanks to Emery trying to prevent Ovechkin from hitting the back of the net. Of course all the above while be a left wing.
Perhaps he can send Taylor Hall a gift basket and a letter asking how it's done.
Possibilities are endless. He goes on the rush with the puck, closer to the middle of the ice than the end boards. Defenseman tries to prevent him from going to the center, he easily goes around and forces defenseman to pivot, losing much of his speed. Has a clear lane to the net and a slapshot lane he never had at LW. Or perhaps that same defenseman cheats by going too close to the boards. Ovechkin toe drags to the center of the ice and gets past him. Now he has a complete one on one.
Perhaps he's being covered really well with no clear lanes to the net. In that case he has a much easier time chipping the puck to the endboards or just taking it all the way around, ending up on the left. Then he has everyone circling him with lots of lanes open for his linemates. Think of the play on Carter's OT goal on Brodeur last playoffs. Then there's countless things he can do with passing from his forehand to Backstrom or Laich/Johansson's forehand and getting improved accuracy and puckhandling from that. The way it's set up any offense generated by sustained offensive pressure and broken plays will most likely have him set up camp on the left, probably beneath the circles (since players tend to circle around, as that's the only way they can get the distance and space to maneuver).
Also, that top corner hole above the glove is much harder to cover than it looks when the puck is getting shot from the right. It's just not a natural movement. That's why Brouwer and Semin regularly made Thomas look like a fool on streaking down the wing shots.
Refer to this very not to scale sketch of a goalie with no pads trying to cover the top of the net with his glove from a puck being shot from the right
..o <--puck
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....O
......| <- net with goalie
.......|8--|--D |
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....L |
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..|Л
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It's bloody impossible!