That's interesting analysis for sure.
It's amazing how much discussion goes on about playing right or left. It's not that difficult to determine which is the correct answer. Thankfully most of the intelligent responses simply suggest going for what feels right.
Fundamentally this is why us lefties are lefties. When we pick up a pen, throw a ball, swing a bat, throw a punch, etc., we're doing what feels right and natural.
If anyone out there is contemplating trying convince someone else which way to play, ask yourself if you would also have them write with the other hand, or pitch with the other hand. If the answer is 'yes I would', you might be a throwback to the age when teachers used to punish or even strike a child for picking up the pen with the left hand.
One of my daughters does everything left, except when playing ball, she bats right. Go figure. Doing what feels right is right.