I thought it was already well understood/researched that it's not the weights that matter, but effectively taking your sets to muscular failure. While one might think "I can do 50 reps with low weights" there is practical aspects to this - you don't wand to spend hours at the gym, and doing heavy weights at 5-7 reps is sufficient as long as you are close or at muscular failure.
There's also the risk of injury. At very low reps and high weight, particularly for highly coordinated motions (squats, dips, pull-ups, Pulver press back-extensions), there's a much higher chance for injury due to insufficient support at one or more positions within the entire range of concentric and eccentric efforts by all activated muscles. We all have, at the very least, minor intrinsic asymmetries that need expl…
As long as your movement does not degrade horribly, asymmetry is fine.
Even before strength training, your one arm is dominant, more precise. But this has an effect on your leg as well.
Doing unilateral work will never change that asymmetry. As you get stronger, due to drastically different activations of the nervous system between the sides, you will get slightly different adaptations.
Looking at powerlifters, most of them have visibly different sizes of hip, leg musculature between sides. They even have drastic flexibility differences where one hip goes deeper, or the musculature makes the barbell sit skewed on the back.