What I experienced was that psychosis isn't a failure of logic or education. I had never believed in a single conspiracy theory (and I don't now), but during that month I believed all sorts of wild conspiratorial things.
What you're describing with cable news sounds more like 1) Cognitive bias, which everyone has, but yes can be improved. And 2) a social phenomenon, where they create this shared reality of not just information, but a social identity, and they keep feeding that beast.
However, when those people hold beliefs that sound irrational to outsiders, that's not necessarily the same thing as psychotic delusions.
When I was in psychosis, it definitely seemed like more of a hardware issue than a software issue if that makes sense. Sometimes software issues can lead to hardware issues though.
