The light shows that you have 12 volts IT DOES not indicate "Connected/Disconnected" if you are plugged in.
In your "Battery control center" are a number of 5 amp fuses. one feeds the switch.. I'd pull that fuse (if not sure pull all of 'em) and then operate the switch both USE and STORE likr 50 cycles eacy. Restore fuses and see if it works (Did for me)
WHY did this work
Switch is "Self cleaning" but if it gets dirty enough it can't lean under power. By pulling the fuse and remoing power the switch will clean as you cycle..
Finally if that works you have a decision to make
1: buy lotto tickets cause "When you hot, you hot"
2: Do not buy cause you just used up your ration of LUCK for the week.
Home was where I park it. but alas the.
2005 Damon Intruder 377 Alas declared a total loss
after a semi "nicked" it. Still have the radios
Kenwood TS-2000, ICOM ID-5100, ID-51A+2, ID-880 REF030C most times