Vaccines aren’t a problem just for people. The breeder from whom Mrs. AZL is getting her next pair of Tonkinese cats is a non-practicing medical doctor and scientist. He has paid a lot of attention to what vaccines do his cats and kittens, both while he has them and after someone acquires them. For example, he noticed that highly inbred cats (typically show chats) are highly vulnerable to severe reactions to vaccines. Also, he has had bad experience with live vaccines, so he only recommends dead-virus vaccines. Also, he recommends only giving one vaccine at a time, and finally he recommends stopping vaccinations after the first year (while also keeping your cat indoors and away from non-family cats).
https://www.indianspringcats.com/about-vaccines-.html
For many years now, all that my cats get are the initial rabies shots. I’d even prefer they not have that, but it’s a requirement if you want them spayed or neutered, and also by law, technically, but mine never go anywhere! Long ago I used to buy them and have them shipped so I could administer them to my cats and bypass the vet, until one day I just stopped and asked myself “Self, why are you doing this to them?” It just didn’t make sense.
I can’t say that it’s had any negative effect overall to withhold all the other ones they recommend. The vet, if he has to examine any of them, will ask me if I want any vaccines, and I just say, “No thank you.” No problem.