I can't say I relate to this one, partly because I don't watch the news, however I will say that any time there's rain in the forecast it's always a small psychological boost for me. I usually just check the weather on my phone or a website, and that's when I actually remember to do so.
I'd say news programs broadcast outside of the weather forecast is usually far more triggering. My grandmother used to sleep with the TV on all night at full volume (I slept in the next room over with a paper thin wall separating us) - set on Fox News of all channels (that or some 24/7 televangelism network). That, in combination with the her inconsiderate habit of storming through my bedroom with a heavy duty flashlight to get to the bathroom, made me want to stomp her f*cking throat in.
