I'm pretty far to the left and have never heard of this publication. I get the feeling it's suffering the same phenomenon as movie reviews where professional critics are increasingly distant from people who watch movies for fun. People can now get their movie recs and political advocacy from people they mesh with across the world without consulting the cathedral.

I mean, the New Left Review is an academic journal. The author is probably an academic rooted in the Marxist/Marxian strain of western philosophy and thus communicating through the appropriate vernacular of the discipline.