Dirty power outages are worse (ex: an unclean power cut where there is a lot of voltage fluctuations before) as the UPS might not pick it up and the computer will get the brunt of it. I've witnessed this happen myself. I've always wanted to monitor that on a scope to see how it looks but I don't have any spare equipment to try it with and don't want to do it with my prod stuff.

So in the case of a fuse popping it really depends if it melted very slowly and then arced before cutting power, or if it blew gracefully and cut power cleanly.
This goes for breakers too, if turning off power to a circuit that has computers on it, I always make it a case to throw the breaker fast. A typical breaker is normally internally spring loaded so it's less of an issue but older style cut off switches can be an issue if you turn it off slow.