I’m running IPv6-only PMS, no Relay, no custom URLs.
AppleTV 4k with tvOS 27.0: the regular Plex app connects fine to the server and can play all music without issues, but Caldera on the same AppleTV will display “Couldn’t load content - Try Again”, unless I enable IPv4 on the server.
It doesn’t even need to be an IPv6-only network, if you have a dual stack network (like most people nowadays), you should be able reproduce this issue by setting PMS to IPv6-only & and rebooting server & AppleTV.