My organization does this (AD domain appears to be the same as the public domain name), and I also had problems when I opted into the HTTPS DNS trial. As in, no internal servers resolved.
I had thought that internal networks these days would favor multicast resolution (LLMNR/mDNS), but that doesn't appear to be the case here. Admin work is not my wheelhouse, so I have no idea what standard practice is. What is the recommended setup for AD and name resolution configuration?