The saga continued...
[tale of woe and sadness redacted]
I ended up replacing all the innards with EMG parts, with HZ H4/H4A pickups and their plug-and-play wiring. What took over an hour soldering took only about 20 minutes. But even then I managed to get the neck and bridge pot connection backward. But unlike soldering this was an easy fix, after unstringing, removing the neck, unscrewing 16 pickguard screws...
But man does it sound great! And probably because of Deluxe's design with large humbucker and control routings, through-body stringing, and pickguard cover, playing unplugged it gives an acoustic vibe.
So here it is, again.