Girard handles the puck and skates circles around everybody every single warmup. He's a wizard with the puck. He's always got it on a string. A spilt second extra to make a play with the puck on his backhand, or to go back hand-forehand, is not going to be a problem for him. Everything else listed here would affect him just the same on the left.
This right side thing with G is over blown. His problem in the Vegas series wasn't that he was playing on the right side. He played on the right side a lot, if not most of the year, and was fine.
The issue with G was Vegas kept hitting him, in part because Graves didn't support him well enough to move the puck to, and all the hits started getting in his head a little bit, so he started making uncharacteristic mistakes under pressure, because he was worried about getting hit.
This would be the same whether he played on the left or the right, because Vegas was targeting him on their dump ins.