One handed examples are not good arguments (throwing a ball, writing). Does an experienced piano player have a dominant hand? Ask any experienced righty guitar player if looking back he now realizes he would have been better to learn with a lefty guitar. I'm sure NO would be the answer. To me its like asking someone if they are a lefty or righty runner.
Try patting your head and rubbing your stomach at the same time. Now reverse your hands. It there a righty and lefty way of doing it? Both are equally difficult.