It's interesting to note that there was a huge gap in time between observing the weather and recording it. There was a further gap before we started predicting the weather. For most of that time, people substituted superstitions about the weather for science. The sky gods were happy, the sun came out. The sky gods were unhappy, it rained. If we would only do the right thing, the sky gods would remain happy. If we want the weather to be agreeable, we must change our behavior.
With the worldwide climate, we are only about 20-50 years into simply observing and recording. It could be quite a long while indeed before global long-term climate predictions is anything at all like the 3-day local weather forecast.
Remember, three stages: abduction, deduction, and induction. Abduction: gathering data and spotting patterns. Deduction: taking patterns and positing relationships. Induction: taking those relationships and extrapolating to future behavior of the system.
Climate science is currently mostly abduction. But folks like to describe it in terms of induction because lots of pieces of the underlying physics are at that stage. But it doesn't work that way.
I don't know if that strikes you as some kind of big hand-waving philosophy bullshit, but it's just the way things are, whether I point it out or not. I'm just the dumb schmuck stuck with trying to explain it.