He looks pretty healthy to me. Fish with very long fins, like halfmoons, double tails, and veils, are prone to fin rot, but fraying of the fins does not necessarily mean your fish has fin rot. Sometimes these bettas just snag the tails on decorations, nip at their own fins, or the fins roughen up a bit as they age.
You should be looking for darkening of the fins as well as pin holes in the fin for fin rot, large, evenly shaped chunks missing for tail biting, and uneven chunks or tears for decoration related injuries. If you see any signs of these, clean water around 82 (or 28) degrees makes all the difference in the world.
If you suspect your betta had fin rot or some other fin injury, look for clear edges around the wound. This indicates healing.