I think some people are confusing the psychology of a tourist.
Bjh is right on the money about your average tourist who knows nothing about theatre but wants to see a show for the experience is likely going to Wicked, The Lion King, Book of Mormon, Jersey Boys, Mamma Mia, Phantom etc. without looking at reviews because somehow these shows have become "quintissential broadway" and they think they're in for a perfect show, ie.) tourist traps.
However, the tourist who wants to see something outside of the few biggest named shows is going to look at reviews before spending a lot of money. At the same time, I can almost guarantee the reviews they read will not be Backstage, Talking Broadway, AMNY etc. No one cares about any of those reviews except people like us, who make up a very small minority of the ticket-buying population. They will read WSJ (which is a concern), USA Today, NYT, and maybe the AP Review. Those matter most. While good reviews aren't absolutely necessary (Wicked took a pretty good beating by the critics), it takes a lot for a show to surmount bad reviews and become a success.
Scratch and claw for every day you're worth!
Make them drag you screaming from life, keep dreaming
You'll live forever here on earth.