That's actually quite interesting, at no point I thought of that and no vets ever brought that up. While saving money to take my cat to the vet again I'll try experimenting with that.
Since about a year ago one of my cats developed bald spots on it's back and at the beginning of the tail, It's getting worse with time but every now and then It shows some temporary improvements, seems a bit random to be honest. The vets already tried putting her on different fungal infection...
