Local anaesthetic is hardly a selling point to me. I'd prefer general, even thought that has the slight risk of death. Better than the (in my experience) 100% chance of "whoops! We'll give you another shot of that and give it a few more minutes to set in."

That's happened to be with 2 back surgeries, one on my arm, and every filling I've ever had done.

Anyway, I'd get this procedure done in a heartbeat anyway.