"What can't people understand about that?" Two easy explanations:
1) Like Judge Judy says, "You can't fix stupid"
2) In the Villages, you can't fix "entitlement":1rotfl::1rotfl::1rotfl:

thank you

Isn't that in conflict with federal law?

It would result in a conflict, yes. The only way to enforce a limit on support animals, is to require proof that the animal is a registered, certified, or licensed service animal. And it's not legal to require proof that it's a licensed service animal.

So they'd have to try and change the laws of the ADA. States are not allowed to legislate changes to those laws.

Who issues a registration, certification, and/or license for a service animal? As I understand the ADA, you can train the animal yourself, and no one can ask you for any documentation.

That's exactly the point. Florida legislators think they can require proof that an animal is "authorized" to be in places that pets aren't allowed. But they can't - partly because no such proof exists, but also because the ADA expressly forbids it.