But I do think that some burden falls on the communicator to be more than just precise, for example, anticipating misinterpretations and correcting them proactively, if those misinterpretations can be reasonably predicted. They often can be.
I see it not so much as "a requirement" (or not) but an incentive: if you really want to reach a large audience without being misinterpreted, you may have to work very hard, rather than just stating precise facts eloquently.