Same problems here. My controller is working in some games, but not everywhere:
macOS: 12.3 (21E230)
Xbox Wireless Controller:
Manufacture ID: 0x045E
Product ID: 0x02FD
Firmware: 9.0.3
Additional type: Gamepad
Working in apps:
Steam
Pac-Man Party
The Pathless
NOT working in apps:
Sonic racing
Asphalt 8+
Agent Intercept