I’m seeing this too, and unfortunately the usual fixes haven’t worked for me.
On iOS 26.2 my path is Settings → General → AirPlay & Continuity → Automatically AirPlay, and even when I set that to Never I still get the full‑screen:
“Join This Apple TV?
Add yourself as a new profile on this Apple TV.”
It appears on multiple iPhones and iPads in my household, across different Apple IDs, every time we unlock our devices.
I also tried changing settings on our own Apple TV:
- Turned off “Choose profile on wake” under Settings → Profiles and Accounts.
- Powered our Apple TV completely off.
The prompts still show up on our phones and iPads even when our own Apple TV is turned off.
The key clue:
If I turn Bluetooth OFF on my devices, the pop‑ups stop entirely.
As soon as I turn Bluetooth ON again, they come back.
That strongly suggests the pop‑up is actually being triggered by a neighbor’s Apple TV in my apartment building, not by my own Apple TV or my Wi‑Fi network. In that situation, the “Automatically AirPlay” setting and changing options on my Apple TV are not enough, because I don’t control the neighbor’s box.
At this point it really feels like iOS needs either:
- For “Automatically AirPlay: Never” to genuinely suppress these full‑screen prompts, or
- A way to permanently block/ignore specific nearby Apple TVs (for example, a neighbor’s device) so we are not constantly forced to tap “X” just to unlock our phones.