I was once employed as a service engineer doing board level repairs on very old or obscure equipment where there were no schematics or other technical information available. They were prepared to have a go at fixing absolutely anything. Not always successfully, but the success rate was a lot higher than you might expect.
This company specialised in this field.
Often it was just a bare circuit board removed from something, of which the function was completely unknown !
I was absolutely stunned by their approach, and initially just laughed at them when it was first explained.
But I was astounded to see how effective their weird techniques were.
The basic idea is first replace every electrolytic on the board. Replace every opto isolator, and replace any small signal transistors. It was explained to me that on a board that is old (10, 20, or 30+ years or more) all these components degrade due to age.
Amazingly that would fix more than half the faulty boards, and without even powering the board up.
The next level of repair involved very close inspection under a powerful stereo microscope of every soldered joint. Some strategic resoldering also caused many faults to go away. The interesting thing about all this, is that the whole repair technique could be learned and successfully carried out by people without any deep electronic technical knowledge, or sophisticated test equipment.
Now I initially laughed at all this, but it really did work. It not only worked, but was fast.
Obviously there were stubborn cases where all this failed to repair the equipment, and some real expertise were called for. But the whole concept just astonished me.
Another "trick" was to take a known good working identical board (supplied by the customer) and a faulty board, and use analog signature analysis to probe both boards node by node to find what was different.
This would quickly pick up faulty components, especially ESD damaged CMOS chips.
I believe this technique is also now used widely by the military to repair complex systems, as it can be carried out successfully by people with a fairly low skill level.
So I can well imagine your surprise at being told op amps degrade over time.
I did not believe it at first either, and still do not understand the mechanism how the Hfe of a transistor can gradually reduce over time.
Strange, but true.