If you read the article, there is a good explanation of exactly how it works about 40%-50% into the article... and it even says "40%" on the sidebar.
My personal reading of it [not a physicist]: If you think about reaching absolute temperature as a threshold, and the moment you cross over to a lower temperature as a new state of matter (=way of organizing), then the rules above and below do not have to match... [much like you can use a strainer to contain water before boiling, but not vapor after it boils]. You can still define temperature, i.e. the macroscopic conserved property, in terms of entropy and disorder, but now the way to organize things have changed and they have a lot more possible configurations / ways to organize and move around, so the temperature go sky high.
