You do lean indeed looking at the pic. And just to add: I do too to the right, but not as bad (and in my case it depends a lot on horse, I have this issue badly on lesson horses, but much less on my own that are very smooth). What I do (per my eventing instructor request when I ride the lesson horse) is to "point" my shoulder on bad side to the horse's ear on opposite side and raise my hand on bad side a little. That seems to help a lot.
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