Some fighting methods train different sides of the body to do different things, based on the assumption that you are naturally better with one hand/foot.
For instance, in western boxing the standard on-guard goes with the left foot in front and the hand structure is developed accordingly - Jab with the front hand and second with more power with the right hand (supposedly better). I may be oversimplifying, but the general idea is correct.
I do not think TCMA go as far as western boxing along that line. In particular, I have not (yet) found a style structured around this concept. However, some styles seem to accept some degree of dissymmetry in two men drills and sparring. I have experienced that in lung ying.
Is this issue addressed in your style? How? When sparring, are you equally comfortable on both sides?
Thank you in advance for your comments.