That is correct, but they generally won't do that unless you have cancer. For the simple orchi, I guess most people get local anesthesia, but because mine was medically necessary (pain down there for a couple months), they used general anesthesia and was covered by insurance. I would have rather had full srs, but it would have been too long to wait in pain. It did however spur me to get srs scheduled.
Congratulations. I hope everything goes well for you.