As a dispatcher, I can confirm that television in a dispatch center is of benefit, and not just for monitoring local emergencies.
My center was watching television at 6:45am MST, September 11, 2001. Seeing what we saw in the next 45 to 90 minutes helped us prepare for the impact it had upon our city and dispatch area (mainly, prepping for accepting dozens of passenger aircraft diverted away from the USA).
We have also had a a number of fires and other such emergencies in the city which have been monitored by local newsmedia, allowing us to gain an effective understanding of what the situation is on the ground.
In a purely recreational sense, there's no problem with having a television in the center, either. My center dispatches for ~20 Fire and EMS services including large city departments, and one large Police department, and has not only 'a television', but eight large projection screens and four LCD TVs throughout the room. During the business day, the screens display a computer screen indicating the status of the 9-1-1 telephone network (how many operators available, how many busy on calls, how many calls pending, etc). During nighttime hours and weekends, two main LCDs maintain that 9-1-1 status screen, while the projection screens can show up to 5 different TV channels (or 4 and a VCR), a DVD, or television feeds from our police helicopters or ARES/ATV hams. There are wireless speakers available for those who want to watch TV or videos. If it's too busy to pay attention to such things, the dispatcher is easily able to turn down/off the speaker, and direct their attention away from the TV screen.
Frankly, those who gripe about how TV isn't needed and distracts the dispatchers from their duties either doesn't understand what goes on in their dispatch center, or needs to hire some dispatchers with a stronger sense of discipline. There's no problem with having television in a dispatch center, period.