@earworm22 the only way to likely solve the mystery would be to have a technician thoroughly go through and test everything, trouble shoot until the root cause or causes are found. It could be transistor or resistor problems, could be bad solder or cold joints as you mentioned. Could be internal power supply issues. That assumes the volume control is 100 % ruled out.
Its age means it could be so many different things or a combination. If you can find some experienced technicians, even if they aren’t local and you could talk to them, ask what they think based on similar receivers they have restored, repaired, they could likely give you some guidance on where to start, what has a higher likelihood of being the root cause of the issues. Can also give you a gauge on if it’s worth going down the repair / restore route or if you are better off trading the unit in for a functioning vintage Reciever.