They have a choice.
They can say to the world, that NYC is open for business, the stock exchange is back and the marathon is on.
Or they can say that NYC is a disaster area, the subway is out, the marathon is cancelled, stay away, stay away, stay away.
If they take the second option, then people will stay away. In fact even in mid 2013 people planning to visit NYC will wonder, "does everything function in NYC, perhaps the subway is still out?".
Option 2 is bad for business.
They will go with option 1.