I don't know about Westchester Tower, or really how things are these days, but I was a guest at the "New York Center" many years ago (before Reagan fired my IFR instructor). And based upon that experience, a sleeping controller would be no big deal. At the NYARTCC, 75% of the people I saw in the building weren't even working. (They were playing bridge, watching TV, etc., and this was at the supposed busiest time of the day.) Of the ones who were working only about one in four were actually directing air traffic. The rest were gofers.
ML/NJ
