What do these 2 tweets have in common?

I recently came across two tweets that caught my eye. Here is the first one from the CDC director:

Rochelle Walensky, MD, MPH @CDCDirector

Masks can help reduce your chance of #COVID19 infection by more than 80%. Masks also help protect from other illnesses like common cold and flu. Wearing a mask- along w/ getting vaccinated- are important steps to stay healthy. #WeCanDoThis @HHSGov vaccines.gov

And here is the second one, from a couple months back:

AP Fact Check @APFactCheck

Posts continue to circulate online falsely claiming that COVID-19 survivors don’t need vaccines because of natural immunity. In fact, that protection is variable and not long-lasting, so vaccines are still recommended. Here’s our recent look at this claim.

apne.wsCOVID-19 vaccines offer benefits even to those previously infectedCLAIM: Those who have had COVID-19 have natural immunity against the disease and do not need a vaccine. No one should be vaccinated without first testing for COVID-19 antibodies.

Together they got me thinking. What do they have in common? What do they tell us about the state of the public communication of science?