I think "odious" really undersells it. A free press is an important part of a functioning democracy. What's the use in being able to vote against people doing wrong, if no-one's allowed to tell you about the wrong?
It's important not to concede the premise that First Amendment protections are subordinate to the public interest at all. Carr argues in his statement, after all, that the FCC has to take action because the public is losing faith and confidence in the media altogether. But even if the FCC can produce a detailed, convincing explanation of how American democracy will suffer if they're not allowed to block certain viewpoints from the airwaves, they still can't do it.