I’m left handed ( the only thing I do right handed is shoot an bow) and had to force myself to turn the inside of a bowl right handed, basically because I had no choice

. The outside of the bowl I turn mostly left handed, holding the handle in my left hand. I can turn the outside right handed but it is usually on the final two cuts of a finished bowl. I can do pull cuts and shear scrapes either handed.
The outside of a green bowl is completely turned left handed, kind of like Mike Mahoney does but I do glide on the bevel for most of the cut. I had no idea Mahoney was left handed until I was watching a video with Stuart Batty and he mentioned it.
Spindle turning is left or right handed as needed.
So being able to turn right and left has its advantages.