Those in the warmer states, does the "extreme" heat damage the battery?

I know there a lot of factors to batteries degrading but I do know that the cold (polar vortex cold) states, batteries seem to degrade like crazy. I use to work at Sam's Club Tires & Battery and we'd have maybe 3-5 people come back to replace the battery they bought before winter and replace it during winter. Not sure if it was the battery brand or the person just poorly maintaining the car but those batteries were just replaced under warranty. 1st year I was there I was super surprised how many people came to replace a 2 or 3 year old battery because of the cold.

So far, my battery is pretty solid. I haven't tested it yet to see where it's at though.