Studied your pics, and it seems the more I learn the more questions I have, so here goes,,, Its been said the main IC needs a "bath", but to me that's soap and water in sitting in the tub!!! I'm assuming it means to soak the IC pins in IPA for a while then polish them dry?? Thats what I did for a 2nd time,,, the pins look shiny, with just the socket marks showing... scrubbed the socket also... Also went over all the component pins/leads with contact cleaner and a toothbrush, then washed off with IPA, and blow dry with a hair dry on low heat... From the pics, I saw the flex connectors were removed with 2 screws and a bar clamping them to 36 contacts at each end,,, I removed them and polished both teh flex and the contacts...
The switches are a challenge, contact cleaner can be shot thru them, and they can be exercised, but it seems its only dislodging dirt and moving it to other places in the switch,,,I just did the same thing with a SS amp volume control,,, cleaner and exercise, for days,,, never got it right til I replaced the pot... I opened the old pot and found a broken carbon trace which was the problem... That said, I can only think that switch cleaning is a crap shoot at best, with the only sure fix is disassembly and polishing the contacts, however these push switches look like the springs are held on with a lock ring and then they would push out the back to disassemble, of course there is no room for that with them mounted to the board...
Right now I'm convinced the PCB is clean, new caps operating correctly, flex is clean, display and connector are clean, but the meter still isn't good enough,,, there is residual voltage present, probably from muck that moved around in a switch, as they're really the only parts I can't see in to... Your pics also showed a process of isolating the stray V, and injecting a frequency signal but I'm not quite sure how you did it... And there's always the bad chip or other component cleaning won't fix!!
So, for now I'll reassemble the DMM to keep the pieces together, and keep trying to find new trouble shooting ideas... Could the whole assembly be put in a ultrasonic cleaning tank? what needs to be removed 1st? Maybe that would get into the switches...
Thanks for the continued help and info...