I had two ports inserted by local, the first slipped and was replaced and then the next one malfunctioned and twisted. Both inserted and removed were done under local. I didn't get offered a choice for general, so I don't know any different to be honest. I can say that the second one that was removed felt uncomfortable, probably because the skin had grown around the port by the time it was removed. It wasn't painful, but was rather a weird experience, because I could feel them tugging and pulling to remove it. which also could have been because my port had twisted/flipped. If you had the port inserted by local, I would think you would be OK to have it removed by local. My strategy to take my mind off what is happening has always been to wriggle my toes throughout the procedure, it really distracts me and gives me something else to concentrate on, instead of concentrating on what is happening.
Let us know what you decide, and best wishes. xx