I'm not sure how the entropic basis of the theory provides any insight beyond 'capacity for work can generate things that have capacity for work', which we knew. The big question isn't, and wasn't, whether a system with primordial chemicals could generate self-replicating reactions and structures - you could figure that out by looking in a mirror.
It's what those primordial cycles actually were.
Edit: Looks like the dude's former supervisor working in chem isn't full of shit like the rest of the article is: Shakhnovich said, but “Jeremy’s work represents potentially interesting exercises in non-equilibrium statistical mechanics of simple abstract systems.” Any claims that it has to do with biology or the origins of life, he added, are “pure and shameless speculations.”
TLDR - might be interesting in niche modeling field, but has nothing to do with origins of life.