I think Fox News is potentially a bigger risk for lost subs if it drops than many other channels.
Using AMC as an example, it's usually a series or two a viewer watches one night a week for three months a year or so. With a news channel, a regular viewer watches it every day, whether it's in the morning with their bagel, or the news after work. Even if a viewer never watches more than 15 minutes at a time, it's much more ingrained as part of their daily routine. If pulled it's likely to be missed sooner and remain an annoyance longer for those viewers.
The concept applies to all the news channels, but particularly to Fox because there aren't any alternatives for the right-leaning crowd.