I know you are trying to help... BUT your are confusing the design of latter K1200S , K1200GT having the frontal 4-cylinders engine with the motorcycle he has. The earlier K1200RS (1997-2005) and K1200GT (2003-2005) having the "brick-engine" do not have the any "fuel strip" in the tank - they use another simpler design that is based on a float system (inside a tube).Is that not just a signal check for the ecu to know the fuel system is working? Sounds normal to me. Light turns off when fuel and level checks are correct. Light should come on when empty or preset low level is reached. Not sure if your bike is fitted with the dreaded fuel strip, there is a conversion to std float type set up on here if the strip has failed.
On these K1200RS, the standard behavior is to flash the Yellow fuel level warning on dash for 2 seconds immediately following an ignition ON cycle. After this 2 seconds period , the warning light goes OFF if the fuel level in tank is above the minimum reserve set point (approx 4 liters). This is NOT related in any way to starting the engine point - just to each ignition ON cycle.Not had this bike long hope you can help
Should the fuel warning light com on when you turn on the bike and go off when you start it?
Fuel gauge reading empty but no warning light