It doesn't. Pretty much no one monitors CT logs and for those who do there is no way to prove misissuance of domain-validated certificate and revoke it, they don't have private keys.
You are entitled to revocation of any unexpired certificates for names over which you can demonstrate control. For Let's Encrypt for example you can automate this, simply make the API calls to demonstrate control (as you would for issuance) and then present the certificate that is to be revoked (it's in the logs) and ask their API to revoke it.
Maybe DNSSEC could be used here to help if ACME added a way to force DNSSEC-only domain validation.