Mostly agreed.
There is one other situation in which I would consider a partial recap. If you're gigging with a board that has a bunch of old oil-and-paper caps that are of a variety known to have a short life expectancy, it might make sense to replace those to minimize the risk of them blowing when you don't have time to repair it.
For that matter, if you're gigging with the board, it might make sense to inspect the power supply capacitors to make sure none of them are swelling, and replace any that are (or even replace all the power supply caps just to be safe). The main power supply capacitors do the most work, so if any cap is going to fail, statistically speaking, it will probably be one of those.
Beyond that, though, yeah, replace parts when they fail. The amount of sonic difference between capacitors in a line level circuit is likely to be fairly small, and a recap is unlikely to make a huge difference. You'll get far more bang for your buck replacing noisy op amps or FETs with newer, pin-compatible, low-noise versions of the same parts. Unlike capacitors, silicon has come a long way over the past couple of decades or three.