I think it's really difficult to tease apart "believing something that isn't true" from "going out on a limb and sharing it in public".

In other words, if someone responds badly, it's hard to say whether it's more because they hate discovering they're wrong about something, or more because they hate feeling humiliated by being called out in public.

When sharing information is intrinsically tied to risking public shame if you're wrong... maybe that's what can be better managed.