My Experience has been with a Mac Mini M2 Pro and a HD HomeRun and using the Apple TV 4K Plex App. Drop outs reverts back to the guide. A huge PITA
Good news recently, this seems to be resolved since new Apple player Beta Testing, even though it’s a bit of a accidental byproduct.
My belief it’s about interlaced TV content, trans coding…
I would suggest to check that HDHomeRun Firmware is up to date, by using your browser and point to it’s LAN IP address, also the latest Plex Media Server version is 1.40.1.8227. For correct Versions use the PMS Tool ( Spanner) and navigate to Authorised Devices in PMS settings
This issue has been for me in Australia with Terrestrial Local TV, which is 1080i mostly. Glad it’s not happening any more. So cross fingers and the Beta update goes main stream soon.