you have an appleTV, so this should be a yes, but does the home app work when you're away from home?
The aTV should forward control outside your home, and those automations should happen when you're no longer on your home network. If you can't control when you're away from home, those automations won't work.
If you can control away from home, try rebooting the aTV, that should reset any automations. Sometimes signing out of your iCloud account on the aTV and signing back in can help also.
If you can't control away from home, then you need to start troubleshooting why.
If cell coverage is weak or spotty as you drive away from your home, that can also affect those automations being able to run.
Is your home location correct? it should automatically pull that info from your contact card. You can also adjust it in the maps app.
If you get the eve app, you can manually set the address of your home.
The eve app is a third party HomeKit app, just grant it access to your home, and all devices and automations will be in both eve and the home app. It's free, and doesn't require any eve devices to use.
or there are a few options in this reddit thread of how to fix a wrong location
https://www.reddit.com/r/HomeKit/comments/kz7ay3