I think people should be more comfortable with non-binary truth, based on the likelihood that something is a lie or not based on historical record. I would put more trust in a statement from someone with a record of telling unbiased truth versus someone with a record of frequently spewing lies or having ingrained bias.
Otherwise, if you don't make these types of initial simplifications, it becomes too complicated to start evaluating the truth of any statement, including scientific ones. And it's okay to be make a mistaken evaluation, just reevaluate and adjust the simplified "truth" assessment model based on more recent data.
There is a danger in deferring a "truth" assessment: a community loses a sense of shared truth leading to polarization, doubt, confusion. And a so-called "neutral" person is, by not taking action, implicitly supporting the dominant narrative, which may be a lie after all.