YANBU just like hospitals, veterinary practices are not inhabited by angels, yes of course some do it for the love of animals and all that, but they don’t ALL obviously 🙄 that would be a ridiculous blanket statement. Simply not true.
For me, yes could have been a joke, likely was - but it’s extremely bloody unprofessional isn’t it? How cringeworthy for the clinical director to have to apologise and make an excuse. Insensitive, crass, bad taste ? All of those things. I would have thought that obvious to a reasonable, ordinary person.
Have a code ffs, it’s not rocket science if the cat is a bit bitey, you don’t scribble “fucker” on the white board and take a photo and send it to the client.
How do you feel about the vet OP and the care the animal receives? Is there a high turnover, different vets every time? Different staff? What are the reviews like?