Taught/teaching plenty of people piano who write with their left hand and they have no advantage over those who do not. The piano generally requires the utilization of BOTH hands and we do not consider each hand totally independent of the other, they depend on each other.

So if your Left hand is stronger it will help you solve your right, if your right hand is stronger it will help you solve the left, solving the left stronger than the right offers no more or less advantage compared to being able to solve the right stronger than the left.

I know right handers who find playing with the left on the piano easier, and I know left handers who find playing with the right easier! My father is right handed but paints with his left and plays sports with his left. So what about these people?