The argument is supposed to be it gets too hot in regions that are already hot
No, the argument is that there is increased entropy (heat) in the closed system we call the troposphere. That doesn't mean hot areas are hotter. It just means there is more energy in the system, which can affect evaporation rates, lapse rates, wind, humidity, and precipitation. Just look at what effects El Nino has around the globe just because the eastern Pacific Ocean warms by 4°C.
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