AppleTV disconnecting from iPhone and iPad while using airplay, even with purchased downloaded content. (Will work with HDMI to lightning adapter cable)

Hello, I believe I am either behind a firewall blocking my app content, or Apple is blocking content from being shown via airplay from a phone or iPad to an AppleTV. The content can be downloaded and purchased, and will still get erroneous error messages about “airplay not compatible” or “this version is not supported by airplay”, but using an Apple HDMI to lightning adapter cable will work with the same content. (Recently they’ve made me start to download a “special” version for the adapter cable after I’ve already purchased and downloaded the content and it has worked previously.

I use the same network and A/V equipment/TVs etc with an Amazon FireTV stick without a problem.

Devices: iPhone 12 Pro Max (updated)

Apple Tv: A1842 (32GB) with tvOS 16.2 (20K362)