Aha,
I had me this feeling that it could, after all, be an intended feature of the game. Both characters are indeed right-handed and it makes sense for the thing to function like that. Earlier I thought about modded Fallout 4, where Super Mutants with miniguns can wreck you in two seconds, but if you crawl from a high place you can shoot them in the head without them being able to return fire.
And, sadly, no, I cannot think of any situation where the opposite has occurred(would have been quite neat, though.) I have this thing with this game where I only want to retreat to the north-east around corners because it gives me more visibility on my character. I can see how it's a bad idea now.
However... You talk about line of sight...
I find this interesting because my character is also good at Psi gizmos, but he couldn't use those, too. Again, is this intended?