nice demo
once i encountered this on a emg based guitar (jackson)with a fixed bridge...my solution was
removing the studs all of them, they were basicaly pressed in i used a large screw with a autp body slide and in a split second they were out with no damage at all
i then dremeled out a small grove nearest the stud hole lika like a slot....i took the stud insert i puled out and then soldered the wire to the side...i them pressed it back in, and filled the corner like a hairs size....this inturn let me run a wire from the stud insert through into the pickup cavity where i gtrounded it to the same shielding on the cavity, then i was able to slide the stud in with the wire due to the small grove i shaved out
if anyone needed a extra way