Indeed these are normative claims, not descriptive. The emergence of life is is an extremly complex stochastic process, and likely impossible to describe. However, it does seem plausible that if a) high dissipative systems are more likely to perdure in time given the 2nd law, b) self-replication enhances the global entropic dissipation of a category of systems (because there are more) and c) the process of developing such a system is easier done by replication than by the same evolutionary pathway that led to the appearance of said system in the first place, then given enough time a self-replicating system MUST appear. I would like to see a formalisation of c) though, my formulation is quite tenuous.

I don't see why it would have to lead to a non-Darwinian explanation of evolution. As has been said by in the parent comment, survivability might just be a high-level manifestation of entropic drive of self-replicating systems. It's remarkable that this is a claim that can be falsified, whereas Darwinian evolution, well..