Why is Local Anesthesia over General More Common for Labiaplasty? Is It a 'Shortcut' Per Se?

Doing research first.. I read on a doctor's page: "The reason why we do not use local anesthesia for vaginal surgery is that the injection of the fluid into the tissue makes the tissue swell dramatically. If the tissue is swollen it is very difficult to artistically shape the labia because now you are no longer operating on the original labia. What you are operating on is a swollen version of the labia thus making it quite difficult to shape the labia with great confidence." Is this agreeable??