They absolutely should andit’s required by law in every state unless a veterinarian deems there is an anaphylactic risk and in some states there are no exemptions.

Not sure why you are getting down voted. I’ve had the same argument with clients for a decade “bUt ThEy DoNt Go OuTsIdE”. Doesn’t matter, it’s the law, and animals escape outside all the time; also do you want your unvaccinated pet to have to go on a 6 month round of quarantine if it bites someone? (Don’t give me that shit; if they have teeth they can fucking bite).