Pietro,
Stayed there 2/3-9. The general manager is Ed Sultzman. He personally responds to emails and messages left by platinum members. The evenings during my stay were completely booked to capacity. I didn't get an upgrade but did get the 21st floor out of 23. The standard rooms are pretty average for W's. Nicely decorated but pretty small.
Give Mr. Sultzman a call or an email.