On a growth ring that has complicated features, I switch back and forth between my hands when using gouges and scrapers. My right hand has much more strength, but the left can be more dextrous with certain tasks.
I was ambidextrous as a kid. I used both hands with utensils and crayons and the like. When I started first grade, my teacher would hit us with a ruler for using the left hand for anything. It got so bad, she would tape my left hand to the side of my desk and tell me I would go to hell if I insisted on using the "devil's hand". Worst of all....this was a public school!