In most older (solid state in particular) power amps, the placement of the caps is such that they don’t get very hot.
For example, a cap that’s rated for 1000 hours at 85C might be good for ~30k hours at 35C. This depends somewhat on the construction of the cap and the electrolyte used.
Think about this for a moment, there are caps used in equipment that runs 24/7 for decades without issues. That’s 175k hours in 20 years, so clearly there’s a disconnect between needing a cap job on an amp used intermittently over 10 years and the above example.
I have a test amp (Genz Benz ML-200 that I designed ~20 years ago) that’s been running continuously in my shop for 14 years, that’s 123k hours without any issues. By urban folklore, it should have needed multiple cap jobs. In fact, there are thousands of these amps out there and none have needed a cap job (that I am aware of, but since I handle the factory service for the brand, I would expect to hear about the need for parts.
IME, the promotion of cap jobs is way overdone, but they are a highly profitable way to extract money from a gullible customer if that’s the business model you are ok with.