> What about CAA records?

Well, what about them? If you've got access to the private key, nothing is going to stop you from generating a cert violating CAA records - and it won't even be easy to detect! They are intended to protect against, say, someone hacking into your server, running ACME to get a cert, cleaning up their traces, and then intercepting your traffic for 90 days. CAA records assume the CA is trustworthy and following the rules.