If you don't see any leaking or bulging capacitor, there is no need to change them. I have several vintage 8-bit computers (Apple, TI 99/4a, commodore) and never replaced any capacitor.
Tantalum capacitors (yellow ones) can blow when they age, but you will hear a loud bang and see the burned one immediately.
That is not good advice.
I've had many repairs with short circuit, open circuit or leaky electrolytics where the capacitor looked absolutely perfect to the eye, they don't always bulge, in fact in over 30 years of repairing 'stuff' I think I've probably seen more that didn't bulge than did.
Similarly tantalums can and will go short with no sign of burning let alone an explosion, the only advantage of that is the power rail the tantalum has shorted will show significant voltage drop if the PSU isn't capable of driving many amps into it.
If the PSU is capable of that then it's a toss up if the tracks, psu, tantalum or all burn