Aussie here, to me xmas = summer time. Xmas movies always felt irrelevant, and the idea of Santa wearing all his gear is mental when it’s often 40C+ and humid af.
Being cold would feel alien that time of year, even more so if it snowed because that doesn’t happen in 99% of the country regardless of the time of year.
I’ve not tried them but you can get replacement pads which apparently have a cooling gel in them. Eg these.
No idea if they’re any good but would be interested in hearing from someone with first-hand experience.