Yes, I'm the kind of weirdo who uses a Bluetooth keyboard with my Apple TV :)
And I'm a bit pissed off because I upgraded from an Apple Magic Keyboard A1644 (Lightning, October 2015) to an Apple Magic Keyboard A3203 (USB-C, October 2024).
The A1644 has a mapping of the F4 key to the TV button on the Apple Remote, and this is super useful.
But the A3203 doesn't have one.
So, to the best of my current knowledge, there is absolutely no way to open Control Centre using the A3203.
Instead, I now turn off the Apple TV by opening Settings and selecting Power Off, like a caveman navigating a menu.
I miss that functionality, and I'm sure it would only take a little effort to add a mapping of this kind.
Joint