Are you sure? I've not see Gentlemen's guide but I do know the Criterion. It has no wing space, no fly space and no orchestra pit. It's really a house for plays, preferably a play with a very simple or fixed set.
I'm sorry it's closing, it's really a lovely show.
The Criterion is a lovely venue, it totally looks like a wedding cake to me! The only problem is that you can hear every single subway car that passes there around.