Literally half my rifle deer have been shot left handed and many of them were close/fast encounters that would have been blown if I had to turn my whole body.
That said, I am lucky to have a high natural level of ambidextrousness and while I am right eye dominant I can switch without issue. I can shoot rifles and pistols with both hands nearly identically well. I play ping pong, pool, frisbee and eat with both hands. Used to be able to write with both hands when in grade school before everything started being typed. Ironically, I am dominant left handed when it comes to writing but very dominant right handed for overhead throwing (baseball, football, etc) and can’t really throw left handed except for under shoulder motions like frisbee, bags, or bowling.