Unfortunately my mouse doesn’t work at all on Cloud Gaming so I couldn’t test it.
There’s was a change with Sim Update 5 that caused lots of people to have a similar problem, but I’m not sure whether this applies to Xbox Series S/X gaming:
First note that the way you control gauges has changed in SU5. To get familiar with the new controls, please take a look at the release notes
Alternatively you can change back to the legacy control option via General Options-> Accessibilty → Cockpit Interactions System and select Legacy
It can also happen that your keybinding profile has been changed. To reset this, go to Keybinding and reset your mouse to the Default profile to enable mouse control again.
This is what I was going to try out on my Xbox but I can’t. Check whether you can change these settings on yours 
Hopefully with this now being in #gd-commsupport:tech-talk, someone else who knows a definite fix will see your posrt and respond.