The advantage of the paper is that it has a great deal of detail and research, done apparently by someone with actual knowledge of the law and case history in question. Usual discussions of the common carrier or public space argument tend to stop at a surface level because everyone involved in the discussion only has basic knowledge and training, so it's interesting to see it more carefully examined.
As just one example, it argues that social media companies are not necessarily protected from being compelled to host content they disagree with simply because it would be "compelled speech," as stated in the rejection of recent Florida legislation. There are a number of existing cases where entities were compelled to do just that because they were operating a public space, even if privately owned (a shopping mall for example). Agree or disagree, this is information I wasn't aware of (and probably a lot of readers here as well), so it's interesting information to have.