Don't know if anyone else has thought of it, but some people are allergic to cats (myself included). Allergies are not tested for on any of the flight crew medicals
afaik (Yes, I have a valid class-1. No, I am not an airline pilot, I have a way to go yet)
I am led to believe that cat allergies are fairly common amongst allergies. It may not be life-threatening, but it can be damn uncomfortable. But if you're single-pilot IFR, as my career may yet progress to, it could become downright dangerous.
Just a thought.