Home hub listed as standby in home app on iPhone, but shows as connected on AppleTV

All of my home hubs (all Apple TVs) show as ‘standby’ from my phone, one of them shows as ‘connected’ from the Apple TV settings (as expected) but the home app is all sorts of broken because it thinks there are no home hubs (about half of my automations have a message saying there is no home hub connected, so I can’t toggle the ‘enabled’ switch, but weirdly half of them don’t have this problem). I tried completely removing the Apple TV that thinks it is connected from my iCloud account and re-adding it. I did see it disappear completely from the list of home hubs in my phone in the process, but after I added it back, it still shows as ‘standby’ in my phone but ‘connected’ in the Apple TV interface. I’ve seen numerous similar reports, so this is clearly a bug that needs to be fixed.