Re: Is this normal?
Normal? Oh, almost certainly not - largely because "normal" doesn't really exist, and if it even does, who cares?
My teacher writes right-handed, eats left-handed and plays left-handed. That's normal for him.
I have a RS inclination, but I don't think it's overly apparent when I play. I change sticking to suit, where it works; where it doesn't work, I lead with my left and don't give it a second thought.
Thinly veiled stiletto
Ladies & gentlemen, I've suffered for my art. Now it's your turn (Neil Innes)