Good for you for finding this out, and I hope it will add to your, already outrageously impressive, cycling.

In other sports at which I'm impressively mediocre -

Learning to ski, I always fell over onto my left hip - left leg was stronger, I tumbled when I had to trust my right leg

Windsurfing, I was pretty damn fast on a starboard tack when the left leg transmitted energy to the board, and pretty pitiful about getting back to shore on the other tack

Pity I just busted my left leg - which is pretty consistent with this hypothesis, the right one didn't keep me upright

(oh and - the right side of my motorbike tyre is pretty worn down compared to the other, indicating that I was happier putting down weight on the outside of right hand turns)

Sorry, citing parallels when maybe none exist, but it just got me thinking. Never a good thing