Nice idea. To test I ran a simple nextjs on port 3000. Added the service via the dashboard. However, when I visit the url, (using chrome latest version), https://{mygivenname}.numa/ I hit a DNS resolution fail error. If I do not use a trailing '/' then it is going to google search for {mygivenname}.numa and shows me some search results. Should I open an issue?
Is it possible you didn't start it as root ( sudo numa install)? Does dig {mygivenname}.numa @127.0.0.1 return 127.0.0.1 ? What OS are you on? Maybe you report it as an issue?