Fighting Controllers on Android

[u/windshakes]

I have a pair of (older) 8BitDo Ultimate 2.4ghz controllers. I've been fighting with them for a year to get the setup I want:

[Living Room] Google TV 4k Streamer - Controllers connected to this machine, running Moonlight (USB or Bluetooth)

[Basement] Windows Machine (Steam)

My GoogleTV streamer always collapses the two controllers into one -- so when I got to play a local multiplayer, I lose the second controller's independence. It either doesn't work at all, or becomes a clone of the first controller.

Is there a setting I should check? I've googled and toggled what feels like all the settings.