Well, my cat is not vaccinated but she is typical "in house" animal and never goes out. Bats? Never seen them around here but she killed couple sparrows which were negligent. Bites? Well, she doesn't bite, so no bites, just minor scratches. And I am vaccinated myself against rabies so if I bite her she wouldn't get rabies 😂

But if she was "free range" cat I would definitely vaccinate her.