Hi stmcld,
Thank you for posting in the Apple Support Communities. It sounds like your apps all restored to the new Apple TV except this one, correct? If so, we would love to help! If you're not having any issue downloading new apps, or updating other apps for your Apple TV, this one may not be compatible yet. We recommend contacting the developer again and asking if the current app is compatible with the new Apple TV and version of tvOS. If it isn't, and you aren't able to use the app subscription, we recommend cancelling your subscription with the steps we've provided below.
How to cancel a subscription from Apple
If you'd like to report a problem with the app, or request a refund, see the link we've provided below.
Request a refund for apps or content that you bought from Apple
Please let us know how it goes. We're always happy to help.
Cheers!