This doesn't apply to only BBB, or only off-Broadway, but seemed a good place to introduce this article about the disproportionate power of a Times review.
I did not see BBB so have no specific opinion about that show or its Times review. But in general, I do find the idea of reviews by a small but diverse group to be an interesting proposition. The Times themselves even toyed with this idea by having a review be a dialogue between it's two chief critics. I can't remember what show it was.