I think this goes a bit too much in the "imprecise" direction, so much so that it doesn't convey actual useful information (at least in those images shown). First off, short-term weather forecasts are not inaccurate, for the most part, so knowing that the temperature will be 21C (±1 degree) is more informative than knowing it'll be "brownish mass". Secondly, the heatmap style makes more sense when it's overlaid on top of an actual map, and you have an actual scale to interpret it.
What does "cool", "warm", "warmer" mean in here?
That being said, the images look pretty nifty, so it has that going for it.