mm, does the technician has significant experience with RTRs ? this is like opening a computer and saying...mmm It's the motherboard. Which means the whole computer is shot in most cases. Fortunately that is not how RTRs work. Due to their age a high percentage of
the logic board can be fixed by replacing parts. Any other issue with the machine ? or this is the only one ? transport control ? recording, playback etc ? how is the power supply, need to measure all the power rails +15, -15, +5, etc.
This machine has microprocessor control, if there is a power supply issue, the CPU may behave erratically producing unpredictable issues that may not have obvious links but in this case the EDIT mode what it does is that it invalidates the tension sensor reading as well, there is a condition with that, meaning that if there is no tape installed on the machine, the counter will not move.
So in this case you may have a problem that the machine "thinks" there is no tape installed, so the counter will not move. When you go into EDIT mode the tape tension sensor is "ignored" so the counter can run again and you can spool tape out. I think that is your problem, somehow that condition is not met and then the counter is disabled. Let me look at schematics tonight and give you more specifics.
If the technician that you have has no experience on these machines then he may do more harm than good, so don't let him mess with the machine to try to hack it as it will likely do more damage. I'll reply tonight after looking at the schematics when i get home.