Ditto.
NYC has millions of places to offer fun. Just the nooks and crannies in Central Park alone(Strawberry Fields, The Boat House, a private dinner in what was Tavern on the Green, the zoo)...the MOMA, Bryant Park area, Lil Italy, Chinatown, Times Square...you get the picture.

I can not see them staying in the Financial District at all or hanging there. The twitter photo of Ali could have caught her going to Southside Seaport and all they have to offer. Beautiful area.
And there are so many cutesie boutique hotels and nice mid town ones.The Marriot Marquis is my personal fave, they have an outrageous rooftop restaurant that revolves and you can see forever AND they offer a dessert bar that would knock your socks off!!!!
As for the weather--it has been a beautiful sunny day all day. Yes, a bit windy!!! But an excellent spring day here--it's 5:45PM and still 61 degrees. They had a beautiful day.