I don't see where Freedom of Speech comes into this. Neither the ARG or US govt. restricted Milei or Carlson's speech (and as we all should know, Freedom of Speech as a legal concept can only be restricted by Govt., not private enterprise). Without going back and reading every post I'm pretty sure I didn't read anyone here suggesting that Milei or Carlson shouldn't be allowed to speak or conduct their interview. Sounds like hyperbole.
I don't find anything wrong with pointing out the credibility of politicians or those who interview them in order to speak to what their agenda's might be. If a politician or a TV talking head has a documented history of lying or lacking credibility I think it's good for that info to be transparent so people can take that into account when they're watching what they're being spoon fed. More information, not less. Sunshine is the ultimate disinfectant. Making credibility judgements about people is a basic everyday human life skill. Can I trust this guy trying to sell me his car? The mechanic says it's got some problems, but the seller says it's tip-top so why should I care what the mechanic says? Does this mechanic have a good reputation in the neighborhood, or is he going to try and rip me off? If I ask this lady to watch my bag while I go to the restroom for a minute, will she and my bag still be here when I get back? Is this witness giving sworn testimony credible or lying through his teeth? If you're not making credibility judgements about all the people involved who give you information (talking heads all the way up to Chairman of the Board of an International Media Conglomerate) then you're leaving it to others to do at least some of your thinking for you and only listening/believing to that which you want to believe and that which you are told. If the messenger truly didn't matter people wouldn't favor FOX or MSNBC and would rely on Reuters or the AP - yet they do watch FOX/MSNBC because the messenger matters to them as much, if not more, than the message and the messenger plays a large part in crafting the message.
As far as not needing anyone filtering the information through preapproved 'credible' interviewers/writers (Remember, it was FOX News that told the federal court Carlson wasn't credible - not the left. Just like all of the witnesses who've testified against Trump in the leadup to his many legal cases/"witch hunts" are all Republicans, not Democrats - go figure, they're eating their own), I wish I had a Ten Peso note for every time I heard Trump and his followers go on about "fake news" "fake media" "fake (fill in the blank)" - all blatant efforts to tell people what's not credible. That's where you can find the greatest effort to filter information, or more accurately, put a spin on it or just flat out lie at the same time it reaches the eyes and ears of the loyal base from other sources considered more credible.