Correct. ADBTuner is self-contained and generates its own ADB key files on first startup and will appear as a new device.
You could, in theory, copy the ADB key files from your host machine ~/.android/
into the adbtuner_config docker volume if you wish to reuse them, but in most cases it's easier to just accept the connection when you have access to the remote control.
I didn't do anything for station IDs. I can add that as a field on each channel if that would be helpful. I've just been mapping the m3u channels to guide data in the Channels DVR web interface.