diditanole,
If you are determined to kill that dash indicator light when the relay is open, you could see if Bosch makes a double pole relay that fits into the same base and wire the tattle-tale light on the second set of contacts that would be powered from the first set when the fan relay was ON.
This would indicate power to the load side of the relay, proving that there was power applied to the fan, but would be open when the relay was OFF...hence, no connection with the motor turned generator.
Bosch surely makes a automotive DPST relay, even if you had to get a new base/socket.
The easiest answer would be to power your tattle-tale light from the relay coil and assume the fan has come on. Your temp gauge would be the last word of proper fan operation.
Stuart