Perhaps. But in Manitoba, on even the worst horribly cold days, I can put on enough clothes and accessories that I can be comfortable outdoors for an hour and in an emergency I could survive for several hours before succumbing to the cold.
In Phoenix, on a really hot day, I can't remove enough clothes to be comfortable outdoors for even a few minutes. (Removing everything wouldn't help, but the police car will be air conditioned.) And no matter what I wear/don't wear in Phoenix, if I stayed out in the heat for even a few hours I would be dead.
So really your flip-the-seasons approach doesn't work at all.