I never really cared much for Liebovitz from when I wrote that Ansel Liebovitz parody a couple of years ago. I think she's a photographer who works by committee and one of her shoots has enough "assistants" as if she were shooting a movie.
As for this picture is doesn't do much for me. My criteria for celebrity photography is, if it was Uncle Bob sitting there would it be a great picture. To me the answer is no.
What makes the picture is that it is John Lennon. Not much else adds to it.