LWB, here. I've been keeping quiet, lest someone accuse me of crossing threads again.
I think I should point out though, that DEK's SX-1010 shows something else besides experience (this previous kluge repair - looks to me like the purple wires, indeed, go to the mystery electrolytic capacitor bound up with electrical tape).
The corrosion on the back panel, seen in DEK's photos, suggests proximity to salty humidity. This reminds me of the 'Beach Disease' I've read about in other threads, a condition developed by audio gear such as an SX-1010 that have been operated for many years near the ocean. The transistors attract salt crystal deposits on the undersides. The salt crystals are said to form in small figure-eights on the underside of the transistors, between the B, C, E leads. The salt crystals are conductive, and can really screw up the old girl's operation.
Honest, this is what I read and, as fantastic as it sounds, it is believable. I can't find the thread again - I'm sure it's here on AK somewhere - but I would respectfully suggest DEK be aware of this condition as he goes through testing and repair.
Maybe one of you other AKers can recall the threads in which this was discussed?