When I was working with kinesiologists on my foot injury, they introduced me to the idea of doing exercises on one side only until both sides were equivalent. I'd always done *exactly* the same number of any exercise on right and left sides. From their perspective, I'm sure part of the reason is that clients can get through their routine in half the time, and they might as well focus on the more important side. I kept doing a few reps of each exercise on the healthier side of my body, and when I got better at some things on my injured foot, I moved back to working on both sides.
Interesting. I might do that for an imbalance in strength.
What I'm seeing is a difference in the little muscles that manage balance, which granted might resolve down to a matter of strength. In Pennsylvania, I did all my strength workouts with free weights so adding foot balance to the upper body exercise was pretty natural, and convenient. I just stopped doing that at home and noticed that 9 months later I had lost some of that balance control.
I'll probably strike a middle ground and bias some of the one legs exercises to my left side. While I'm on one leg, I am lifting stuff with both arms.
That's really good stuff. Our yoga instructor says that if you only do one thing from yoga, it should be balance. I do some one-legged upper body weights but nothing very heavy.