It really depends. But sometimes obvious facts which are ignored are harder to overlook than more subtle things.
There was an episode during the first season of Pushing Daisies in which Kristin Chenowyth’s character Olive was revealed to have a past as a champion jockey.
I had issues with that. Major, major issues, based on my understanding that women jockeys are quite rare. There was plenty of other fanciful/implausible stuff going on which I could overlook, but a woman as a champion jockey–nope, nothing doing.
Or to give you another example, I read two books more or less at the same time a year ago. Both romances. One of the “paranormal” type-- the Matron of Honor at a wedding was a woman who had had nanobots implanted in her which made her superhuman. And she worked for a supersecret government agency which didn’t make sense. And the hero of the story had a past which was awfully convenient. But it had a happy ending, and none of the stuff which didn’t make sense annoyed me. It was real in the story and that was good enough.
But the other story was mostly realistic, set in modern day America. I had issues with the “world famous rich sculpter” who turned out to be 32 years old (or maybe even younger)–look it’s not that prodigies don’t exist or get rich, it’s more that his work was known to the heroine because her mother had wanted a custom piece of his work, and the timeline just didn’t compute. And I got really, inexplicably annoyed when the Heroine turned to Google an address and she got the information she wanted immediately, and the whole romance took place over a span of about 48 hours.
Romances which go from “Who the heck are you?” to mutual “love you, want to marry you, and have babies with you” in 48 hours (or even two weeks) piss me off.
Incidentally–the first romance I described above was guilty of that sort of a timeline–it’s just that it was such a short, and lighthearted tale I was willing to overlook its flaws in a way that I was reluctant to do with the more serious romance.
So there you have it–I read paranormal romance–by definition I must be willing to accept a lot of unreality. But it’s the bits which run most directly up against my common sense which bug me the most. The stupid mistakes.
I bet I’d have liked your penguin story better with an explanation for how they got to the North Pole too.