I'm right handed left eye dominant and shoot compound, recurve, and longbow right handed. If you practice you can change your eye dominance without closing your other eye. I change it while on the draw with the compound, works great never have a problem. With the stick bows I don't worry about it, I don't shoot off my point so I don't think it matters much.
If it was my son, I would have him shoot lefty. There is no reason not too, might as well start him off right by going with the left.
