You have to either invest a lot to get a critical mass to join your site, or make it extremely entertaining to be there from the start. Apart from all the criticism, this is what Facebook, Instagram, Twitter, and LinkedIn got right from the start. For their intended audiences, it is either useful or fun to be on their platforms.
I don't see much added value for most arXiv extensions, except for SemanticScholar [1], which might have been lucky being one of the first.
I think fancy people with appropriate credentials and .edu emails are all using openreview? So the audience is what, the unwashed masses who also happen to be doing some light reading at the bleeding edge of knowledge? Surely there are dozens of us I tell you, dozens! =P But yeah, maybe not enough to sustain a social network.
Never heard of alphaxiv, will try. I would also love for this to work, probably not willing to risk slogging through science twitter/bluesky/mastodon. Honestly HN would be the obvious place if it would add a pretty simple tagging system as most of the people interested are probably already here. I don't think we'll see that, because if we had filters no one would go to the front page, and that'd be a bad thing for certain interests.
Other formats are dense and require reading and internalizing the content