So, you think a left-handed shooter can run the bolt on a right-hand action off his left shoulder?
Yes. Not as fast, but yes. The first shot counts most, so make it count instead of thinking so much about the second shot.
I am left handed, but right eyed. I basically have 2 good trigger fingers. That aside, I grew up in a right hand world so I made everything from right handed school desks, to right handed pistol gripped guns work.