Here's one to try.
I play on Nvidia Shield Pro TV using my DS4 controller as I am ex PS4 player

It only recognises it as an XBox controller and so no rumble or touchpad use on GeForce Now
In Options, Controls, Ship Controls, go down to Miscellaneous then go down to ENABLE CONTEXTMENU IN SHIP.
Toggle this ON in flight and see if this makes a difference.
I had to set this ON to get multiple sub-control bindings working on the DS4 controller such as Landing Gear is <hold>B+<down> (<hold>O+<down> on DS4)
This enables the context menus when holding any key down - opens the sub menu for another key press.
I don't have a Hotas so don't know for sure, but you may as well try it.