I have the same problem with Ring Stick-Up v2 Wired. Read on other SmartThings thread that the camera is compatible. Bought it then found this form after get the error “ring is reporting that you don’t own any devices on this account”
Hoping SmartThings sorts this out but seeing that their devices are running out dry and support and development seeming slowing, I am not sure if the future of SmartThing is under question?