The only way it would seem logical for the rumors to be true about them opening during the summer would be due to the fact that awhile ago they stopped working on the set while they tried to get more money.
I guess the only way that the show might need to open up in the summer would be due to the fact that they stopped working on the sets for a while when the creative team was begging the producers for more money. I guess they could be making up for the delay in the building process and need to delay the opening/ start of previews to make up for lost time.
I don't know if that is the case for sure, but it is the only thing that seems logical to me as to why they might actually start in the summer rather then in a couple of months.
"If you try to shag my husband while I am still alive, I will shove the art of motorcycle maintenance up your rancid little Cu**. That's a good dear"
Tom Stoppard's Rock N Roll