I have a 1956 valve radio that I still frequently use to listen to Radio 4 long wave, it still sounds 'fine' even though the caps in it are pushing 55 (as are the valves I'd reckon). It works perfectly at least.
My old NAD C300 however had cooked its caps, and the sound as a result was quite...'warm', almost wooly and soft, bass wasn't well defined, and the speaker cones moved excessively IIRC, which all went when I replaced most of the caps inside it.
Caps have a temp rating, 85c, 105 are common, and if they operate significantly under this their lifetime can be extremely long, and over it, rapidly diminished, environmental variables/storage conditions very important too, but I've seen loads of caps, all electrolytic, that have failed due to heat, not sure if it came from within them or external sources.
Oddly, I think being used is actually good for electrolytics as it helps keep them 'formed' inside, unused ones can degrade inside, which makes them run hot from wasted/leaked energy when put in circuit, then they explode
A 'faithful' same value/voltage recap is probably a very good idea actually lol, no doubt someone who knows a lot more than me will be along