The fact that "weather" has no free will, but humans do, makes your analogy unworkable. If a meteorologist has all available information at time-T, as well as t

The fact that "weather" has no free will, but humans do, makes your analogy unworkable. If a meteorologist has all available information at time-T, as well as the computing power to crunch all the numbers and run a simulation, it's impossible for them to mispredict the weather. The very definition of free-will means that the above is impossible for predicting human behavior. Even if you had perfect information, models and computing power, you still can't predict human behavior with 100% accuracy. A good analyst may be able to predict human behavior with higher levels of accuracy than others - but even a perfect analyst with perfect information will still make mistakes due to free will, which makes it qualitatively different compared to a meteorologist.