Interesting that due to eye problems, I have had to switch to shooting left handed and eyed and it works well for me. I grew up shooting right handed and eyed until later in life various eye operations caused me to switch to left handed and left eyed.
I am presently shooting my doubles left handed and left eyed due to an eye operation three years ago. Shooting leftie slows me down, but accuracy does not suffer.
This is also true with my double rifles and lever action rifles, but not with a bolt action where the shooting is good, but working the bolt is clumsy.
Being able to shoot left handed has always been easy for me and on a couple of rifle hunts, it allowed me better shots than shooting righty would have.