Are we talking about the face or the body?

I think some independent left and right side control (morphs) in the face are useful, because even if someone's facial structure appears symmetrical at rest, once expressions kick in very few people move their eyes and mouths symmetrically.

I think trying to achieve asymmetry in the body would be a complete waste of time and effort. Barring medical conditions like scoliosis, most people's bodies are very, very close to symmetrical, even athletes at the top level of 'asymmetrical' sports like archery and rowing. I believe that the skeletal remains of English Longbowmen can be identified by the fact that their back muscles developed asymmetrically, but I can't think of any modern activity that would have that effect on us.