Even though I can't do anything else with my left hand, I tried using it with a SR for the oft side of my face. Much to my surprise, I found I get a great shave with my left hand, maybe because I use less pressure, naturally, with my left, than with my strongly dominant right hand. As my technique has improved, I have found that my left works better in some areas and my right works better on others, depending on the strike and approach.

Interestingly, one of the very early members here (whose name I can't remember) has a video that someone re-posted in the last few months that shows him shaving the right side of his face with his left hand, and the left side with his right hand.

As others have said, whatever works for you is what you should use. You may find that you adjust and change over time, as you get more confident and comfortable.