RXE:
Probably they want to replace the board with a new one so as to be able to guarantee the repair!
I have known one or to who will say 'its this or that' and offer to scrap the set and then go repair it and sell it as a reconditioned..... so always beware when folks offer to scrap your sets - they might just want a part out of it for a repair! Sorry, but I'm speaking from experience here as it happens to some folks who bring me their sets to repair.
I suppose the board could be repaired, but first you would have to consider changing all the aging electrolytic capacitors, they may look OK but might easily have gone high ESR, then it's down to finding the fault!
You don't say what voltage checks if any you have done.... this could prove very helpful, guessing what it is could prove expensive.
Dave