Happy to report -- Success attempting to use iPhone Control center to connect to Apple TV box without a Siri Remote
Very nice. Well done.
I deleted the previous users so that there was no default user and no additional users
Third party apps that are present from the previous user, will still be linked to the previous account. If not doing a full reset (yet), consider deleting and reinstalling these apps, to make them updatable.
I updated the tvOS to ver. 16.6
Well done! Depending on what it was before, this update may help with the pairing of the Siri Remote (requiring tvOS 15.4 or later for the latest model Siri Remote).
… including Netflix that shows the previous family members when I opened Netflix and it asked 'who's watching' (that was a little disconcerting; even though the previous owners were no longer listed as users of the box, to be able to connect to their Netflix subscription and watch their shows).
Third party apps that have subscriptions not-through-Apple, will use accounts that (should) differ from the Apple ID account. If they didn’t sign out, then you could potentially watch on their account, and influence their watch history. Quite careless of them, although they can remotely end that by disconnecting this device from their account.
I think my next step is to perform a full reset back to the factory configuration (to wipe out the previous owners stored apps/data), keeping the Ethernet cable connected to the box, and hope that my iPhone Control Center will still work without the Siri Remote that came with the unit when it was purchased.
After setup, that should work, but I doubt that you can do a setup without official remote (or supported wireless keyboard). The home network may be unavailable until after a few setup questions.
I assume the full reset back to OEM configuration will allow me, if I disconnect the Ethernet cable, to enter my WiFi information so I can use the box over WiFi?
You can, now or after reset, but not with the software remote on iPhone. You’ll need a physical remote. When you disconnect the ethernet cable, then the software remote isn’t able to communicate with the Apple TV box anymore.
… I guess this means my iPhone is communicating to the box through my home network (or Bluetooth?)
Through Wi-Fi to the router, then over ethernet to the box. Not bluetooth, that is only for discovery of “nearby” devices, not for command signals from iPhone.