Apple Music Airplay turns off Universal Control

TL:DR: Sending Apple Music from iPad to Macbook Pro turns of Universal control setting

Context: My desk setup includes my work Macbook Pro and my iPad. The Macbook is plugged into a hub that connects to an external monitor and to some external speakers.

I like to control the music using the iPad, and do so by Airplaying the Apple music to the Macbook, which then sends the signal through the hub, to the monitor, and finally along to the external speakers.

This all works fine, but when Universal Control is enabled and the Airplay is initiated, this terminates the Universal Control and switches to Airplaying the music. It doesn't just terminate the Universal Control, it switches off the appropriate setting on the Macbook's Advanced Display Setting menu. ("Allow your pointer and keyboard to move between any nearby Mac or iPad").

Manually reengaging that setting restores Universal Control just fine and the Airplay continues as expected.

Doesn't seem like a limitation, just a weird side effect of enabling the Airplay.

Kind of a bummer since it means pulling open Display settings multiple times a day just to reengage the Universal Control. Any fix?