Kind of depends, but caps going out can cause a cascade of failures. Of all the parts in your receiver, the caps are the easiest to find appropriate replacements for. It’s anything made out of silicon which can fail and have no replacement for. Transistors, CPUs, movie sound processing, etc.
Transistors are kind of iffy, depending on the parts originally used, they can go out of manufacture and have no reasonable replacement.
IMHO, having the unit recapped is a reasonable effort and will probably save you problems down the road. I think reaching out to a shop and being clear that you just want the power caps replaced should get you further along. Modern caps are smaller, longer lived and higher temp (longer endurance). Finding appropriate replacements even for 40 year old gear solid state gear should be reasonably easy.
Looking at a picture of the insides, the power supply layout is pretty traditional. 4 large caps right next to the large power transformer. These would be easy to replace.
Another thing to consider is that caps made in the 21st century are a lot better than made in the 1980s. You may have more life in them than you’d have thought otherwise.