Given the content in the Quanta Magazine article, I would have assumed the explanation was straightforward: the hotter the water is, the more the molecules insi

Given the content in the Quanta Magazine article, I would have assumed the explanation was straightforward: the hotter the water is, the more the molecules inside are bouncing around randomly, and therefore more likely to end up randomly entering a configuration that triggers nucleation in a given period of time than the same water at a lower temperature. But I don't even see that possibility discussed in the Wikipedia article. It's such a simple explanation that I therefore also assume it's wrong for some reason, but I'm curious why it's wrong.