> The constant back and forth schizophrenic nature of many broadcasts and the condescension they carried pushed people into that.
Well... that's because "science" or "being nerds" has been demonized by society for a very long time. The coolest guys in school were never the "nerds" (or those who looked like a "nerd"), and that attitude is strewn across culture and media ('member the Simpsons episode with the brain pencil?), so it feeds back into schools again.
When wide parts of society as a result have zero idea about how science works - constantly learning and reevaluating based on new data - of course the messaging will look "back and forth". When one looks even at the most controversial opinions they were, with the knowledge available back then, correct.
The one and only exception was "selfmade cloth masks are effective", and that ruined a lot of trust. Of course the politicians knew it wasn't true, but on the other hand they weren't completely wrong either as even a cloth mask is much better than no mask, and they had to deal with scalpers and even looters while hospitals didn't have PPE left.