I dislike working when I know I don't have the option of a straight rappel to the ground. The best rescue option in case of an injury is always self rescue, and retieing halfways down is only going to complicate that, or even make it next to impossible.
When I had maybe a year's climbing experience I cut the large vein on the inside of my elbow, just slipped a bit with a handsaw and punctured it. I didn't think I had done anything (I was wearing a baggy sweatshirt) until the blood soaked the sleeve and was dripping off my fingertips. I didn't have a long enough line to get to the ground directly and had to retie, pulling about 40' of rope down, resetting and then another 20' rappel. All I could think of was, what if I had cut myself a little worse? Cut a few tendons? An artery? The five extra minutes it took to get down might have been the death of me.
A local climber here bled out in a tree here about two years ago because he wasn't tied in, didn't even have a climbing system set up, just a rope on his belt. His 200t kicked back into his shoulder and armpit area, making his arm useless. Couldn't get his rope set up with one arm. Even had he been tied in, it wouldn't be easy to retie in with one arm had he had a short rope.
My most used rope is a 230'.