Pull apart the two wires going to the LC200 connector. They need to be separated to test the wires for power.
Turn on the neon light so power should be going through the connection.
Touch the non-contact voltage detector to the source side wire's insulation. If the detector illuminates, or make an audible sound, there is power going into the splice.
Touch the non-contact voltage detector to the device side wire's insulation. If the detector does not illuminate, or make an audible sound, there is no power making it through the splice and it needs to be repaired. If it does detect power, the LC200 connection is not the source of the problem.