I was having trouble 2 nights ago with my Siri remote-not exactly like this but thought I'd mention it in this thread for reference. After i updated appleTV to the newest, the remote kept displaying 'remote connected' or 'remote charging', on and off every couple of minutes. Truly annoying.
Husband put it in a signal proof box so it couldnt talk, error messages still popped up.
Found this fix in the Apple support forums. It seemed to be caused by the remote app on my watch-it Was the one throwing the error, theoretically.
Couldnt delete the remote app from my watch, but deleting it from my phone did the trick. No new remote error messages, and my marriage was saved.
Weird? It worked though.