Climate relate plot holes in AvP?

In Predator, the girl reveals that the "devil" (the predator) only comes in the "hottest of years". In the beginning of Predator 2, there is a newscast in the background that states that LA is experiencing an unprecedented heat wave.

This creates 2 possible pot holes in AvP:

1. 
   

   It appears that the predators prefer hot weather, but in AvP they don't mind the extreme cold even without any cold weather gear.

   
   


2. 
   

   In AvP it's suggested that when the predators build the pyramid in Antarctica, the climate there was mild, even maybe hot. However, Antarctica has been covered by ice for the last 23 million years. But 23 million years ago, the modern humans seen in the pyramid would have not existed, thus the plot hole.