All those components (beside gear indicator) have the instrumentation lighting voltage supply (Terminal 58g) from LCM and is turned on/off as soon as the light switch is used. Gear selector light gets supply voltage via GM (load cut out relay) and goes out when the vehicle goes to sleep mode. It seems like the Terminal 58g circuit is shorted to direct voltage if the lights stay on even without LCM.
Probably the easiest way to rule out things is to source connector X806 behind glove box and start taking wires off the terminal connector and see when the lights go out and then put other wires back on and see which component doesn't have lighting when you turn lights on.
https://bmwteka.com/wds/en/e53/f01d00cd
https://bmwteka.com/wds/en/e53/d3a4a54a#