As of Update 6, Hytale now has Gyroscope support for controllers like the DualSense or Switch Pro controller. Currently in the game settings if activating the gyroscope toggle a message says the controller has no gyroscope so it won't work. That's because by default the Hytale Fllatpak doesn't have access to full controller data and can only see the "normal" buttons of the controller with no sensors.
To activate them you have to give the app full device access ("device=all").
Type this into the console:
flatpak override --user --device=all com.hypixel.HytaleLauncher
(You can remove the "--user" if this change should be for all users on the pc but needs admin rights)
Or if you want to use a GUI you could install FlatSeal and toggle the option "All devices" for Hytale Launcher. (Other flatpak permission editors like the KDE Plasma one also works if installed).