That schematic is about as helpful as a modern one with a microcontroller in it. Maybe Technics/Panasonic was way ahead of its time?
Here is a wild guess. Maybe it will be so off base that the discussion it generates will be helpful. The IC has switch inputs, what look like pull-ups, and outputs many of which go to inverters. Can you test the standing voltage on the outputs? Do the switches do anything to that voltage? What happens if you put a logic-level signal or ground an output, such as FF or REW? If the function works, then you have more assurance where the problem is. Since you appear to know trouble-shooting, you may already have done that and I apologize, if it is redundant.
Edit: What I mean is the chip may just be acting as a debouncer for the most part.
The asking price for the obsolete chip is high, but not a big surprise compared to what I have seen seen in my locale. I have seen typical $4 chips with asking prices ten times that. Of course, they only have to sell one to keep the store open another week. At 50 euro, I would try to find another tape deck. Are tape decks they still made? Good luck. John