WCBS management would likely be just as happy if you tuned to WINS.WCBS 880 no longer has someone there overnights. They are running pre-recorded segments consisting mostly of people who were interviewed about random topics earlier in the day/week/month? I don't know what happens if major news breaks overnight. I used to turn this station on every night as part of my getting ready for bed routine, but it's unlistenable at that hour now.
The long-held conventional wisdom was that radio should not do things that would cause someone to tune out at night because that means they would not be tuned into the morning show when they turned the radio back on the following day. I guess today's programmers have forgotten about the basics though, or they just don't care.
Plus, if there was some sort of breaking local news story, isn't it possible that WCBS could get someone live on air in relatively short order?