Earlier quoted context omitted.
I think the CDC's original statements on masks (they aren't necessary, they're only effective at preventing the spread of COVID if the wearer has a medical degree, don't wear masks on planes, etc) contributed a lot to the distrust and politicization of mask wearing. When you expect an institution to always be impartial and tell the truth, those sorts of white lies can quickly erode trust.
Meh, I understand your point, but as someone who follows the conspiratorial world passively, I can tell you the whole 'but they told you masks were useless' thing is a post-facto rationalization to gain some common ground with the less conspiratorial people. In reality, the usual suspects were pushing conspiracy theories about the CDC even before they determined masks were useful. A famous conspiracy peddler famously…
The exact same thing is happening with the mask discussion. The people who say the CDC lied about masks and it was obvious that they help, are the same who strongly refuse to wear them because it's a security theatre. It's completely dishonest argumentation.