I've noticed (and been told) that your toe side naturally has much more 'suspension' due to the extra flex available through your toes/feet/ankles on that side. Whereas your heels only have a straight line to transmit forces up through your legs. So the answer is to keep your knees slightly looser heel-side to actively soak up the extra forces and allow to edge to run true.
Of course that's all aside from any other differences in technique/turn shape that might exist in your style.
We are all atheists about most of the gods that societies have ever believed in. Some of us just go one god further.