If fish develop a grey film over their back or head it can be costia or trichodina. These are a type of skin parasite that bites into the skin and irritates the fish. In large numbers they cause tissue damage and eventually kill the fish. If there's no grey film then it's unlikely to be that.
Bristlenose and other scaleless fishes (catfish, eels, loaches, etc) are sensitive to all medications but especially anything with malachite green, methylene blue or formaldehyde/ formalin in. These chemicals don't normally cause fin rot to a fish but can damage the skin, which then allows bacteria and fungus in to do more damage.
If the fins are dissolving/ rotting away, then you might need to treat the fish with something else. If the fins have split and look frayed but are not getting any worse, then don't bother treating it. Just keep an eye on the b/nose and make sure no white fluffy stuff (fungus) appears on the damaged fins. And that none of the damaged fins become red and inflamed (bacterial infection).
Triple sulpha or Tri Sulpha can be used to treat various problems in scaleless fish including fungus, bacteria and whitespot. You can use them at full dose and they don’t affect the beneficial filter bacteria and won’t affect fish.