"Fake news" is a catch-all term for "disinformation" but you can call it whatever you like. Regardless of whether or not it is a 'factual' programme or what it positions itself as, it is promoting information that is incorrect in regards to COVID, and it has a huge audience, it's a very influential show, so I hear.
It's absolutely not my cup of tea, but it is an influential show with millions of listeners. I can tell from this post of yours alone that I don't like your views, but I can tell that you're an intelligent person (vocabulary, syntax, logic etc). Most people aren't that bright, or as questioning of the evidence they hear.
It frustrates me when people push the argument that people are rational actors who can make up their own mind based on evidence. They're not, really. 50% of the population are below average cognition. In fact you might be familiar with Jordan Peterson's work on people of less than average intelligence and how they struggle with information.
The combination of a health promotion message coming from a source an individual trusts (let's say their favourite podcaster) and limited ability to objectively analyse it, leads to people believing things that aren't true. If this wasn't the case, companies wouldn't spend millions on celebrity endorsements.
Whether Rogan pitches his show as factual or not is immaterial. It is a huge show with a massive audience that happens to be pushing information that isn't true and leading people down narratives that are false.
He's made untrue statements regarding the vaccine's side effects and how the vaccine works, and had multiple guests make untrue statements about vaccines and ivermectin. I really don't think Spotify should be hosting a podcast that reaches millions if people where the host and the guests are making untrue statements that could affect someone's health-related decision making.