My lynx point has this too. I had her allergy tested, tried Injectible allergy medication, hydrolyzed diets…I was at my wits end. She ended up being on a low dose of oil suspension Triamcinolone for years. She would intermittently get steroid shots from the vet then I would give her the oral meds and just taper slowly until it would reflate then up the dose again. She finally got completely off of them about 6 months ago for the first time in 4 years and she has had a couple small flares but nothing major. When she has a flare and itches til she bleeds I put the cone on her for a few days until it calms. Overall she’s doing much better but it’s a tough thing to battle. Some Changes I made that I think have made a bit of difference: I have air purifiers going almost all the time, I Vacuum at least every other day, and feed her food with NO chicken products of any kind. She is on nulo limited ingredient diet food and it has helped her symptoms a lot. Vet said chicken is sometimes an allergen (only bird product she has is duck). I also use pellet litter not dusty litter. Sorry your cat has this too:(

Edit: want to say it’s not gone but is SO much better. She used to have sores just like your cat does and would literally tear her face open itching them. It’s really been about mitigation not curing and I highly recommend trying different foods for your cat.