TWC put out a press release regarding DTV possibly dropping the channel.
“For DIRECTV to take us off their lineup would be deeply irresponsible to its customers who not only count on The Weather Channel on a day-to-day basis, but depend on us before, during and after severe weather events. As the most trusted source of weather news and information in America, The Weather Channel is there when it matters most. If we are not available to DIRECTV’s 20 million viewers, they will miss the accurate and life-saving information we have been providing for more than 30 years,” said David Kenny, chairman and CEO of The Weather Company."
http://www.deadline.com/2014/01/the-weather-channel-directv-carriage-dispute/"The Weather Channel is there when it matters most."
There are two instances that take exception to that,
May 15th 2013 due to meetings TWC made a decision to re run the tornado week shows instead of doing live weather shows 5pm-8pm, 10pm and 1am.
They got caught with tornadoes in Texas and were forced to go live at 8pm ET.
Then on May 18th, 2013 the storm the Tornado Hunt team were following had 3 tornadoes touch down between around 8:25pm and 9pm and TWC stayed on tape.
"If we are not available to DIRECTV’s 20 million viewers, they will miss the accurate and life-saving information we have been providing for more than 30 years".
TWC provides no weather coverage 2pm-4:30am on weekends so there is not much to miss then.
When there is severe weather I'm sure most people turn to their local broadcast channels for coverage.