You also need to measure the exact amount of solar radiation before it hits these molecules (which is impossible, so we assume this is constant depending on latitude and time)
These errors compound (the butterfly effect) which is why we can't get perfect predictions.
This is a limit inherent in physical systems because of physics, not really a data problem.
There are a limited number of weather stations producing measurements, and a limited "cell size" for being able to calculate forecasts quickly enough, and geographical factors that aren't perfectly accounted for in models.
AI is able to help substantially with all of these -- from interpolation to computational complexity to geography effects.
Edit: I do see a benefit to the idea if you compare it to the Chaos Theorists “gaining intuition” about systems.