Update:
Not sure if I mentioned this before, but I replaced all the caps on every board and still have the same issue.
I disassembled the volume pots, cleaned them thoroughly with Deoxit and polished with Brasso. That reduced the scratching a bit, but they’re still not perfect. I also resoldered the wires on the Main In RCA.
From testing through the Main In, the signal goes straight to the power amp board. So the problem isn’t there—it’s likely in the tuner board, switches, or volume pot. The only board I haven’t updated yet has 4 big cement 0.47Ω resistors and 2 emitter resistors (150Ω). According to the multimeter, they test fine, but maybe they’ve got micro-cracks or something similar.
I’m waiting on replacement parts and will see how it goes. Just a reminder: at the very beginning, one cap on the power amp board blew out, and the 7A fuse burned. The resistors aren’t expensive to replace, but the result is still uncertain.