No.
To trace the problem hot, begin as close to the power source as practical.
Select volts and probe the junction that should have power with the key in whichever position you are checking.
The problem currently is when the key is in run. So my suggestion is put the key in run, back probe the cavity on the bulkhead with the J2 wire.
If that has battery voltage, then check the accessible junctions for the J2 branch wires.
Make sense?