In the case of the pot of water, you can observe the energy input into the system and combine that with some very generic, simple, and reliable physical models to determine when it will boil.
I'm not claiming that climate science is that simple, of course. My point is that some systems are more easily predicted at a larger scale than a smaller one.
Predicting the exact type of precipitation in a specific locale is one thing. Extrapolating a global trend based on past data is another.
They don't need to know whether it will be raining next month in Istanbul to tell you that the world is warming at a specific rate and what are the likely culprits.
I predict the next value thrown by a given fair die is _____.
Sometimes aggregate predictions are easier than fine-grained ones.