I can't see these two things being connected in any way.

About the only reason the rad fans would come on if the engine isn't on would be if you had been driving it minutes before and the cooling system was still hot.

Other than that i would expect it to run all the time then if there was a fault, which would be most likely in the temp sensor which is on the rad.

If it is disconnected this might cause the fans to run all the time

(much like if you disconnect the engine bay fan sesnsor which will run constantly if you disconnect it from the sensor).

I don't really think its worth connecting this HK$ igniter up tbh, but if you did i'd doubt the insurance would be that interested, but you should declare it.
