I guess I'm not thinking of it as a product to monetize but a data problem to solve.
I choose my weather services based on presentation, because they all basically rely on the forecasting from NOAA [in the states, at least and from what I can tell].
In my imagination of Google, they could slurp up all the public weather data and make it better and more relevant and more present than other websites.
But the incentives are probably not there and my imagination is probably out of touch with the difficulty of chaotic systems.