This followup still predicts that cooling water cannot cause it to freeze. (And relatedly, it predicts that cold ice will take a long time to melt, but not that it won't melt. In fact, it won't melt.)
I don't see why either of those things follow, particulary the second.
Cold ice, in an environment that doesn't supply energy to the ice, will not explore microstates at any notable pace, and thus will not melt.
I don't think it makes any prediction about what will happen when cooling water, because the freezing reaction is related to the specific chemistry of water molecules. The only prediction is that any macrostate that gets newly entered into is less likely to change, because of the relatively low energy state of the system (compared to the energy required to break the newly formed bonds of the crystalline form.
1. Things tend to turn to dust rather than stay together, because the number of states where things are "together" are small, and the number of states where things are dust are high.
2. Ice has a few arrangements, and water has many. So water is "dust ice".
3. H2O will naturally tend towards "dust" form over time, so ice will eventually become water.
