Correct. Which means that batteries last much longer in cold climates than in hot climates, but people erroneously get the impression that cold weather does them in because the final failure *usually* shows up on a blistering-cold night. In a hot climate, the battery can show up dead as a post any time of year and often without the slightest warning.
I give more credit to the comparatively cool (though painful to get at) location on that vehicle. That location has to knock at least 50 degrees F off the average temperature of the battery compared to putting it up in the top of the engine compartment as usual.