I see nothing in the wiring diagrams that suggest a connection. The gear indicator switch feeds directly to the dash controls and there is no connection from the side stand switch to the dash. But I suppose it is possible (hidden interconnection). I see you cleaned it but I think I would have tested it off the transmission before I put it back on just to make sure.
Nice technique for removing and installing it. I'll have to try that.
The only reason I wondered was because the last 2 days it was working the neutral light and gear indicator went out occasionally when I turned it off. Flicked the side stand back and forth and they came back on so I thought maybe some kind of connection. Oddly my side stand switch currently allows the bike to run but does nothing if I put the stand down when in gear.
I also have no neutral light, oil temp light, engine temp light or batt light on ignition. The rev counter doesn't work nor does the fuel gauge engine temp gauge or gear indicator. All other dash lights indicators, lights, high beam etc work.
Couple of other tiny points, the battery light is supposed to get power from the alternator via a single wire on startup. It's not sending any on startup B+ pin is saying 0V. If I rev the bike the battery warning light suddenly gets power from the B+terminal and oddly... the battery starts charging (confirmed by volt meter 14.4v)
This is all off the back of a starter motor relay failure that jammed closed and the starter wouldn't stop spooling. Happened when I was riding and I lost the entire dashboard, it went dead. Replaced relay and starter (old starter worked but I figured why not) With new relay and starter the entire dash leapt back into life, then 3 days later … all the above.
I should add my bike is a 1998 K1200RS but they share pretty much everything with the LT, including the Clymer Manual lol.