you would more than likely need a recording volt-ohm-amp meter so you would be able to see the spike as the circuit turn on, there is a much higher but very quick spike in an electromagnetically energized device as the magnetic field builds up and as it collapses, but I don't think you would not be able to read it unless you had a graphing function that you could read almost instantly.
also, if something was keeping the lock-off solenoid's armature from moving as quickly as it is supposed to, that higher current draw spike could last until the armature had moved it's complete stroke. someone putting a washer under the magnet coil may cause this sort of draw.