I disagree.
You are right that normal people don't read Twitter.
But Twitter users read Twitter. And there are many of them. And they amplify what each other says, conspiracy theories, telephone game, and intentional disinformation alike.
And… eventually some of that disinformation reaches critical mass and graduates from the disinformation Petri dish of twitter.com and releases spores into the mindspace of journalists, "journalists", and normal people who happen to be on Twitter sometimes.
And then, having evolved into a truth-resistant strain, that disinformation spreads through Facebook, InfoWars, well-meaning television news outlets, and television news outlets owned by Sinclair Broadcast Group, into memorable one-liners that reinforce one's own beliefs just enough to avoid application of even the hint of rational thought, which get tucked away in that special space of the mind used to store those juicy "gotchas" you're saving up for next Thanksgiving.
And come Thanksgiving, you use them – take that, Hillary-loving millennial nephew! And, you find out they're wrong, because of course they're wrong, they're ridiculous – why would Hillary Clinton be performing satanic rituals underneath a pizza place? – but it doesn't matter. You've spent the past year reinforcing your beliefs because you half-remembered that you heard somewhere a vague description that Hillary did this awful thing, and you told your friends and it reinforced their beliefs, because even if it made no sense to you, it was vague enough to make sense to them, and, well, she probably did something else terrible anyway, and in fact, your just buddy told you about how Wall Street is paying her to get rid of US borders. Sounds about right!