This DC article from 2012 might be old, but it shows one reason why Media Matters has it out for Tucker.
https://dailycaller.com/2012/02/12/inside-media-matters-sources-memos-reveal-erratic-behavior-close-coordination-with-white-house-and-news-organizations/
After reading this, I wonder if MM is the author of the 4 am talking points. Check out a few of these comments (pics related).
"Founded by Brock in 2004 as a liberal counterweight to “conservative misinformation” in the press, Media Matters has in less than a decade become a powerful player in Democratic politics. The group operates in regular coordination with the highest levels of the Obama White House, as well as with members of Congress and progressive groups around the country."
So, was this the Obama state media enforcement organization?
" group with the ability to shape news coverage is of incalculable value to the politicians it supports, so it’s no surprise that Media Matters has been in regular contact with political operatives in the Obama administration. According to visitor logs, on June 16, 2010, Brock and then-Media Matters president Eric Burns traveled to the White House for a meeting with Valerie Jarrett, arguably the president’s closest adviser. Recently departed Obama communications director Anita Dunn returned to the White House for the meeting as well."
"Media Matters also began a weekly strategy call with the White House, which continues, joined by the liberal Center for American Progress think tank. Jen Psaki, Obama’s deputy communications director, was a frequent participant before she left for the private sector in October 2011.
Every Tuesday evening, meanwhile, a representative from Media Matters attends the Common Purpose Project meeting at the Capitol Hilton on 16th Street in Washington, where dozens of progressive organizations formulate strategy, often with a representative from the Obama White House."
Sounds a lot like they were in charge of shaping all the media reports for the Obama administration.