If not the CDC then maybe we should just question everyone's motives and I apologize for trying the sensationalist approach.
EDIT. Maths. Unedit. Still maths
At some point, you have to have some level of trust in society and its institutions. Or become a paranoid nutter.
Maybe the paranoid nutters are right (just because you're paranoid doesn't mean they aren't out to get you), but that's still no way to live.
I see this as a false dichotomy. It is possible to simply assume that everyone is doing their best, and that is "not necessarily great" due to poor system design and various other reasons, or it may be even worse due to some bad actors - but necessarily becoming a paranoid nutter is a false belief, and the commonality of such beliefs makes me suspicious that they are not entirely organic.
The Tuskegee Experiment started 90 years ago and ended 50 years ago. I don't know what proof you need, but the simple facts of human biology basically guarantee that anyone who had any power during that timeframe is no longer working at the CDC.