With cool weather comes references to temperature.
A common mistake is to say the temperature is getting warmer or — in the case of autumn and winter — cooler.
But think about what’s at play here. It’s the temperature itself, not the weather.
Temperatures only rise or fall when used in this context. A few examples:
My dad would always make me wear a hat when the temperature started to fall.
Folks love it when August hits and the weather gets cooler — but not so much when there’s a big temperature drop in the winter.
Georgia has distinct seasons. When September comes, the days start cool but then the temperature raises to the mid-70s.
Think of it this way: Temps drop, weather does not.