Yeah, he's an old boy, but I still love him . I'm lucky to have him for as long as I have, I know bettas don't live more than about 5 years. I'd like to see him live that long, which is why I want to help him get better.
Alright, so an update:
I've been watching him over the last few days after putting pink salt in his tank, and his fins have unclamped and his swelling appears to be going down. Briefly, it did look like dropsy, but it didn't progress very far. I did another 75% water change the other night, and it coupled with the salt seemed to help.
I also did a water change on my other tank and added salt to it, since he had originally been in that tank about a month ago.
Another update: The salt I added appears to have killed some of my large-ish young snails. It's not that big of a deal for me because I have a bunch, but I have to clean out the bodies now.