I have an antenna and receive local stations OTA. Internet feeds of local stations have delays which span from 10 to 30 seconds and you are dependent on an ISP. I used to have DirecTV and it was subject to "rain fade" during storms which was frustrating. I cut the cable years ago but use a digital DVR to timeshift and skip commercials. I find that when weather APPS are not truly free as they harvest your personal information and they have delays of minutes and would not bet my life on them.
I used to have a rear projection DLP TV and since it used an arc lamp, I have a big a$$ UPS that would allow me to properly shut down the system during a power failure. I have since replaced it with an LED system, so that UPS now runs my Fiber router, network backbone, DVR and TV. It will run for about 30 minutes to an hour during a power outage. Local weather reports provide the best real-time information for storm path and timelines. The Weather Channel APP which is welded to my phone sucks rocks.
Compared to the real time radar reports on local TV, the delay can be minutes. They are fine if I want to know if it is going to be a "stormy" day and use it when we're traveling to choose travel routes, but their local, real-time value is limited.
Other parts of the country deal with large scale weather phenomenon which effect a huge number of people at a time. In tornado country, we're dancing around to avoid the "finger of God" which is a more individual activity.
When we make a decision to "hunker down", the best data available is from our local meteorologists.