Okay, but this sounds like it's only applicable to teaching about contentious topics, like history or politics, but it doesn't sound very applicable to teaching

Okay, but this sounds like it's only applicable to teaching about contentious topics, like history or politics, but it doesn't sound very applicable to teaching math or computer science. There you're definitely not trying to indoctrinate or sell a story, you're very obviously just trying to explain a concept. This is the setting where analogies work perfectly well if used skillfully.