If the client uses "certificate_authorities" extension to list support CA's, a TLD server that holds multiple x509 certificates can present to the client the certificate signed by the clients trusted CA.
Of course, the browsers don't use the "certificate_authorities" because the list would be hilariously large for a TLS CLient Hello packet.
Of course, the browsers don't use the "certificate_authorities" because the list would be hilariously large for a TLS CLient Hello packet.