OK, this might take some explaining.
There’s a very good Star Trek: TOS episode “The Conscience of the King” which relies on a rather dumb plot element to get the plot going and provide pathos:
[spoiler]There is an actor, Anton Karidian, who suddenly appeared on the scene with no previous record of his existence at around the same time a brutal dictator, Kodos the Executioner, supposedly died, leaving only an unrecognizable burnt corpse. Kodos killed four thousand people in a famine-struck colony in order to test his eugenics theories, and Kirk is one of the few people left alive who’s seen his face. So Kirk has to decide if Karidian is Kodos and, if so, whether to bear witness against him.
So it fundamentally doesn’t work: They have pictures of both Kodos and Karidian, they have recordings of Kodos’ voice, and they have the simple fact Kodos faded out of the record at the same time Karidian faded into it, fully-formed, which would be practically unthinkable now, let alone in the tech-heavy far-future of Star Trek, and especially for an actor of all professions.[/spoiler]
Suffice it to say: There’s a plot hole a mile wide at the heart of this thing, a fundamental flaw in the premise, and it’s still a good episode. It has earned pathos, real conflict, and it touches on real issues in a sensitive and intelligent way.
I’m not very interested in people trying to justify the flaw. I’m interested in other works with similar debilitating flaws which still pull through. I’m also not interested in willing suspension of disbelief: We accept that transporters and warp drives work because of willing suspension of disbelief. That isn’t a plot hole, it’s a part of a genre or subgenre, like accepting that people in dramas act dramatically, and not like normal humans.