Thanks to social media and AI, the cost of inundating the mediasphere with a Big Lie (made plausible thru sheer repetition) has been made much more affordable now. This is why the administration is trumpeting lower prices!
So more democratized?
You cannot compete with that.
In particular, our own CIA has shown that the "Big Lie" is actually surprisingly cheap. It's not about paying off news directors or buying companies, it's about directly implanting a handful of actors into media companies, and spiking or advancing stories according to your whims. The people with the capacity to do this can then be very selective with who does and does not get to tell the Big Lies. They're not particularly motivated by taking bribes.
You absolutely could. But wouldn't be CBS news, it would be ChatGPT or some other LLM bot that you're interacting with everywhere. And it wouldn't say outright "the holocaust didn't happen", but it would frame the responses to your queries in a way that casts doubt on it, or that leaves you thinking it probably didn't happen. We've seen this before (the "manifest destiny" of "settling" the West, the whitewashing of slavery,
For a modern example, you already have Fox News denying that there was no violent attempt to overturn the 2020 election. And look how Grokipedia treats certain topics differently than Wikipedia.
It's not only possible, it's likely.