I go to the touchless car washes exclusively in the winter (or the DIY ones) and my wax lasts through the winter just fine. I got through almost the entire winter with Meguair's Gold Class last winter with harsh road salt, and once a week or every other week touchless/DIY washes with the supposed harsh chemicals. I am going to see what happens this year with NXT 2.0.
I just waxed my girlfriend's brand new RAV4 in the garage over the weekend. Was about 40F out, I just washed it (touchless) and put in the garage with a 1500 Watt space heater for about an hour. The wax dried just fine in 30 minutes and wiped right off (NXT 2.0). No big deal.