The thing is, it seems to be the warmers who reject concepts of statistical mechanics?
Nope. It's only SSDD and the "CO2 isn't a greenhouse gas!" crowd who deny that the Second Law is based on statistics, and other basics of Statistical Mechanics.
Albert Einstein once said that of all his contributions to science, he though his theories in statistical physics were probably the ones that would endure because the only logical assumptions were assumption based on large numbers.
But Ludwig Boltzmann, the father of statistical mechanics in the 19th century, was definitely a scientific pioneer swimming against a huge consensus of 'settled science' that rejected faith in or study of aggregate behavior in any system. But as Boltzmann's theories gradually gained credibility, a whole new field of science was born and now the concept is so widely accepted, it is a component of almost all advanced curriculum in engineering and Earth sciences.
Just like how global warming science slowly changed the consensus. Why? Because it got correct results.
Denialism could change the consensus ... if it could get correct results. So far, it doesn't.
So perhaps the skeptics who are looking at the big picture of aggregate influences on Earth's climate
The mainstream scientists, in other words. Where on earth did you get the crazy idea that scientists don't look at aggregate influences?