If you can only skid right foot forward, you'll have X skid patches.
If you can skid with either foot forward, you'll have 2X skid patches.
2X is always greater than X given that X is a whole number. Thus, regardless of ratio, an ambidextrous skidder will have more skid patches than someone who isn't.
Your math skillz are weak.
If you have a 2:1 ratio, you always have one skid patch regardless of left/right forward.