https://forecast.weather.gov/MapClick.php?lat=33.4503&lon=-1...
I'll definitely end up using the broadcasting/eventing API for push notifications.
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I think they've got you covered. Maybe not directly porting over, but it sounds like they're aware of the non-emergency use cases.
I always tell tech savvy people to look at the forecast discussion and not the infographics. For example, look at Spokane:
https://forecast.weather.gov/MapClick.php?lat=47.65726000000...
Then select 'Forecast Discussion' and read the discussions. They are usually updated a few times a day at the minimum, but during active weather events they are generally updated every 3 to 4 hours with new information (more data from the 850mb layer, for example).