Complicated workaround for this issue: use the twitch VOD/clip downloader by user lay295 on github, download the entirety of the VOD you want to watch, and host it on a local plex server to stream to your AppleTV. This is far from simple and requires significant effort to set up, but it's worked great for me and plays back without issues since I already have a plex server and a lot of HDD space. Hopefully this is useful for others too.
Complicated workaround for this issue: use the twitch VOD/clip downloader by user lay295 on github, download the entirety of the VOD you want to watch, and host it on a local plex server to stream to your AppleTV. This is far from simple and requires significant effort to set up, but it's worked great for me and plays back without issues since I already have a plex server and a lot of HDD space. Hopefully this is useful for others too.