I don't think trust and coordination is the main problem. There were some mistakes caused by things we didn't knew about the pandemic early on, but most of the things experts said were correct, and most regular people treated the restrictions seriously early on. Governments simply had other priorities than listening to experts.

For example I've seen a lot of people taking the restrictions seriously early in 2020 in my country (Poland), but the restrictions often made no sense (they banned people from going to forests but never banned them from going to churches and kept schools working most of the time for political reasons, ministry of health first said that masks aren't necessary because they do nothing against covid, then he made masks mandatory, prime minister asked people to stay at home and closed down the economy when we had 100 cases in the country, then because of elections gave away free holidays trips and said Covid is behind us when we had thousands of cases, president said he doesn't believe in vaccination to get antivaxer support before elections, then again they introduced very strict (and random) restrictions, then banned abortion agaisnt the public opinion knowing full well it will cause mass protests in the middle of the 3rd wave in autumn 2020 - then healthcare was completely paralyzed and 60 000 surplus people died in a 38 000 000 country in a few months).

Basically limiting the loss of lives caused by covid was never a priority for the government - the priority was to keep as much support as possible, show that they are doing something, get favors done for their political vassals and get politically ahead of the opposition at whatever cost.

So I really can't be surprised by all the antivaxers and tinfoilers that showed up after all of that :/