One reason not to use political examples to illustrate a (nonpolitical) point is that it invites a lot of distracting nitpicking from those who identify with the targeted political group.

But another is that if you're trying to make a normative point to a broad audience, then alienating one subset and elevating another — for no good reason — is a losing strategy.

For instance, if you want to talk to people about improving rationality, and you use an example that revolves around some Marxists being irrational and some Georgists being rational, then a lot of the Marxists in the audience are just going to stop listening or get pissed off. But also, a lot of the Georgists are going to feel that they get "rationality points" just for being Georgists.