The issue with the conspiracy stuff (and also why it's nonsense) goes back to the 2016 primary and the ridiculous "us vs them" narrative that emerged where the "DNC" was trying to stop Sanders, where "DNC" meant the entire Democratic party as a whole, because the people pushing this narrative saw the two things as synonyms. The first issue is that the "DNC" is an organization which is primarily tasked with running national Presidential nominations and the convention every 4 years. The Dems are a very, very decentralized group of organizations in general, unlike the GOP. The second issue with this narrative is that when the Dems hold the white house, the DNC head serves at the pleasure of the President, and is not elected by party representatives. (I suspect we may want to change this- it's meant to avoid conflict between the two when the President is the party head but party management is not the same skill as governance.) And the third issue is that Barack Obama made it no secret who his preferred successor was among the potential 2020 candidates. There wasn't some grand conspiracy from the "Democratic Illuminati", it really was as simple as "Obama wanted Clinton to be his successor and was applying pressure/greasing the wheels behind the scenes for that to happen without an ugly fight like 2008." , in large part because he and Clinton nearly tied that year. Unfortunately for everyone, attempting to avoid any conflict probably made the resulting conflict worse.
Going back to the issue with the misconceptions about the DNC and how it's important here -The DNC generally doesn't have much influence on state/local parties, they're relatively independent once elections occur. Local parties vote for State party reps, states reps vote to see who reps their constituents in national DNC elections. And you can see the idea that this was some massive party-wide conspiracy theory blow up in the voting data -
http://graphics.wsj.com/elections/2016/how-clinton-won/
Clinton won almost 2/3rds of Dem-ID'd voters in the primaries. Sanders won almost 2/3rds of I-ID'd voters in the primaries. But in both those cases, they got a little over a third of the other chunk of voters. There were plenty of self-ID'd Dems who voted Sanders and vice versa. Someone being part of the Democratic Party didn't mean they were unwilling to vote for Sanders. It doesn't mean their questions are unfair just because of their party ID.
It was wrong of CNN to mislabel a county chair as a "mother of two." That's a legitimate problem with CNN's behavior we've seen before on a bipartisan basis. But it's not ok to try and claim people were being disingenous with their questions just because they're party-affiliated in any way when asking reasonable questions, because being a Dem didn't mean you were unwilling to vote for him.