Yeah, I'm surprised he didn't just preemptively replace all the caps instead of the 3 he pointed out.
Yeah, that to me is lazy/unwise... All of them are ~20-25-30 something years old, and you had 3 that showed visible signs of failure, so the prudent/wise thing to do is get rid of them all for replacement with newer, better manufactured ones... And if you really care, maybe pay a little more for low-ESR Panasonic caps and what not. If you're smart like Steve-o, you can even determine where ceramic or tants could work as suitable replacements for electrolytic.
I personally had bad luck once on my SNES using 4 ceramic caps related to the S-Video/Composite output amp/circuit, so sometimes there are cases where you should leave it to the pros when trying that if you don't truly understand the science behind it and are just a parts-swapper. In which case, best to just stick with replacing them with the same model.