- what do you mean by "can't see the Apple TV", does this means you don't see airplay icon on a wireless client device?
Correct, Apple Device and other devices that were able to cast to the Apple TV in bridge mode are unable to locate the Apple TV.
- Is the wired Apple TV in the same VLAN as the wireless client device?
Yes, the Apple TV and wireless client are on the same VLAN
- What is the derived user-role of the wireless client device?
For testing, I've made so the user inherits the "Authenticated" role on connecting to the test network.