Lots of right handers cast spinning gear with their right arms, then reel on the left side; but, they most often cast with their left and reel with their right hands with baitcasters.
I'm one of those weird right handers that casts with my right and reels with my left using spinning tackle, but when I'm using a baitcaster I cast with my right and reel with my right.
Oh, and nice video, Bullet. Looks like wherever you're fishing has some nice fall color starting to show on the trees! I am about to take my yak out in an hour or so. Wind is blowing like crazy, though.