And the "opposite check" with grounding pin 14 of the IC17 4052 in square mode should be safe because it has 10k on one side and 100k after the output, even with the IC built in, so it can be done before getting down & dirty; I was under the impression that you might have sockets for the CMOS ICs anyway from servicing.
For visual inspection you might have a very close look at pins 4, 6, and 7 of IC 3A and 4A (power and output lines) for hair cracks. IC4A works against IC3A and that current might cause trouble over 40 years of service.
ps Forgive me if I lack a bit of respect for the vintage celebrity. In my "shop" project, after I've soldered 16 JP8-signal compatible voices myself, I outsourced the next 16 to two assembly houses and one of them delivered exactly zero good boards (solder splatter and a handful of wrong components per board), which I had to debug - with lots of swearing and resorting to ever cruder methods over time
