Fosse, you wrote that Ragtime was not a "voluntary closing," intimating, as some of the cast members have posted on their social media pages, that Ragtime was forced out. And that is completely specious. Now, there are always shows circling theatres where the current tenant is perceived to be in trouble. While several shows are now vying for the Neil Simon Theatre, Ragtime would not be closing if the producers of the show felt that they could have withstood the winter and cover their losses. I believe this mindset that Ragtime was forced to closed or evicted may stem from something the producers of Ragtime must have told the cast, to perhaps soften the blow of the closing. It sounds better to say that the theatre owners have another show lined up than to say simply, "we're out of steam, money and options."
As far as your reluctance to believe Fences is not going to the Neil Simon, here's the New York Times ArtsBeat blog from yesterday, saying that Fences is not going to the Neil Simon.
http://artsbeat.blogs.nytimes.com/2009/12/29/theater-guessing-game/ I'm not privy to their financial details, but I don't believe Ragtime had a running cost under $500,000. An investor in Hairspray told me in 2002 that the weekly running cost for that show at the same theatre, with its smaller cast and orchestra, was $600,000. Now, that was a new show versus a revival, but costs and salaries have not diminished in the last seven years...
Regarding the Cort, if View from the Bridge closes April 4, you can load that show out, load in another play and tech it in a week, begin previews by the second week of April, play two weeks of previews and open the last week in April. It wouldn't work with a musical, but a straight play with a unit set could do it.
Begin at the beginning and go on till you come to the end: then stop.