It's just one of those things you either accept or don't.
No, it isn't, because it isn't always handled the same way every time, and it is entirely valid to critique those individual examples that handle it
worse than others. As I already clarified yesterday, the problem with
Logan's Run is not simply that the computer blows up; it's that it has no
reason to blow up. Most other stories that end that way provide some plausible reason for it to get stuck in an irresolvable logic loop or conflict of programmed imperatives. Here, that isn't convincingly sold. There's no insoluble paradox, merely a disagreement. The computer could've just rejected Logan's input as bad data, since it had no corroborating evidence.
Also, most other stories make it a clear victory for the protagonist by showing them arguing the computer into self-destruction, beating it in a battle of wits and wills. Here, Logan is passive and unquestioning, not actively defiant at all, and the computer basically turns on itself. So it leaves out the most important part of the trope, the fact that the hero
defeats the computer. It's not a victory earned by Logan, it's just a random thing that happens to end the movie. It's a
deus ex machina and thus is bad plotting.
And thirdly, or C-dly, it's just a ridiculous case of overkill that it blows up, not just the computer, but the entire city.