You are correct. Global warming refers to heat, on a climatic scale, on average. It doesn't refer to temperature (the number one mistake people make), local conditions, day-to-day variations or local phenomena.
But it's worse! For the price of three mistakes, we'll throw in three more, absolutely free!
Heat flows around the planet. You've the conveyor belts, trade winds, gulf stream and many, many more. But air doesn't just circulate around these, it also circulates around regions of high pressure and low pressure (forget which way for which) and from high pressure to low pressure, but pressure systems aren't trivial things and you'll hear of one blocking another, not one cancelling another.
Climate also has myriad feedback mechanisms. Hot air rises, expands and cools as it does so. (Temperature is inversely proportional to volume, near enough.) As air cools, it sinks. If the air sinks when it is 100% saturated with water vapour, the air cannot retain it and it falls out the sky in various unpleasant forms. Usually, whatever you're not dressed for. It Knows! But what affects air temperature? Solar heat, yes, but also the ground. Air is fairly transparent when it comes to thermal radiation but not to conduction or convection, which is why the ice caps (which reflect 100% of what reaches the ground) have very cold air masses, whilst thick forest (which absorbs a very high percentage) have very hot air masses.
(You also have to figure that water holds a LOT of heat. To heat water one degree C, you need to put in far more than you would to heat carbon one degree C. Forests, by their nature, tend to have higher humidity in their vicinity. Polar air, by contrast, is usually very dry. This changes the reservoir available.)
Finally, organic systems are negative feedback systems. They have to be. Using James Lovelock's Daisyworld as an example, white daisies (which cool a region) like warm weather. But what if they liked hot? If it was a positive feedback loop, the daisies would cook themselves. Even if you picture a response curve, so their preference waned above the ideal, they would still create highly unfavourable conditions and die out. The only way to make the loop stable is for the daisy to have a negative feedback loop, so that it and the environment are in dynamic equilibrium. An ideal state is actively maintained.
Humans don't really understand dynamic systems well, and dynamic equilibria even less. I despair of your species, Earthlings. Anyways, there are all manner of regions on your planet, all with their own different temperature preferences and all actively maintaining them. Air circulates. Globally. The instantaneous result is weather, the long-term result is climate.
Try to picture a radio station with static. You can distinguish the instantaneous (the pops, whistles and crackles) from the aggregate (whatever is being broadcast). To equate them is to assume a time invariance that has no basis in reality.
Honestly, sometimes I think my seminar series "Ethics 101 For Daleks" was easier.