AFAIK; the pieces where lots of people tend to die from heat waves in are the places where there isn't a regular annual need for AC.
Also, this isn't just about cooling; it's about heating, too. Imagine living in Saskatoon SK without a working heat source. Nobody does that. If you're not relying on electric/gas heat in such places, you're relying on fire.
Nearer to the equator pretty consistently means less seasonal variation in temperature, it does not mean higher summer peak temperatures.
Lee Kuan Yew, founder of modern Singapore: "Air conditioning was a most important invention for us, perhaps one of the signal inventions of history. It changed the nature of civilization by making development possible in the tropics. Without air conditioning you can work only in the cool early-morning hours or at dusk. The first thing I did upon becoming prime minister was to install air conditioners in buildings where the civil service worked. This was key to public efficiency."