The first thing reporters should adjust is their honesty. Your fears about how a message could be perceived negatively becomes a self-fulfilling prophecy if a lie is detected. That a lie will be detected in today's world is very high, so calming or noble lies carry a lot of risks.
Additionally it should quickly communicated what people can and cannot know. If an unknown disease breaks out, nobody knows how dangerous or deadly it is and what helps against it or not. You don't even need a good justification if you enact restrictions as a precautionary measure with clear boundaries for reevaluation if civil rights are affected.
I think only high trust countries went through this relatively unscathed.
As a side note, emergencies are taken a lot less serious because of disastrous and incompetent anti-terrorism policies. We had emergency legislation throughout the western world for the last decade and a half.
> Instead, we need to develop a realistic, informed and deeply pragmatic approach to our shortcomings without ceding ground to the conspiracists, grifters, and demagogues
Wrong lesson, you just need to be better sources of information. Trying to silence them is the opposite of a sensible approach. This has been done to a scarily effective degree, people have basically been unpersoned. It did not work, you have a bad result now. That is a fact and needs to be accepted first.
I assume when Covid is done, there will be a long discussion about how effective vaccination has been in retrospective. You might want to stay truthful here since it will affect further trust.