Yes, you certainly have much more tissue on the left -- but care must be taken to evaluate the right side as well. If there is any amount of excess tissue on the right, it would be wise to operate on that side as well (only a doctor's examination can determine this).
Understand, operating only on the left side, when/if there is tissue on the right, is more difficult to "match" the right side.
It is my opinion that if there is any excess tissue on the "smaller" side, then both sides should be operated upon so that each side becomes the best it can possibly be.
Dr Jacobs