Given that the only obvious reason to actively refuse to use their preferred pronouns amounts to a pretty deep attack on the legitimacy of their identity, you can see why it would not feel like a trivial thing.
You might be similarly intent on insisting that people call you <actual name> rather than <offensive nickname>; that's just as real an example of "dictating other people's words".
Which, to be fair, everyone with names and/or pronoun preferences (including a preference for the pronoun that is associated with the gender one is assigned based on the appearance of one’s genitalia at birth) tends to do, its just that when either the name or pronoun preference conflicts with someone else’s ideological view of the world, then the person who is trying to impose their ideology over other’s identity projects the other person’s identity as a “political position” and an imposition on liberty.
In general I find it more productive to focus on myself than demand others conform.
This misses the point. If you would be bothered by an actually offensive nickname, surely you can empathise with trans people who feel the same way about pronouns. If you are truly unoffendable, great, but you must realise that you're unusual in that respect, and that trans people are far from the only ones 'dictating' how others refer to them.
In any case, this comment is more to the point (you may have already seen and downvoted it, I'm not sure): https://news.ycombinator.com/item?id=27002002