According to this question, there is a model structure on $\mathrm{Set}$ in which the cofibrations are the monomorphisms, the fibrations are maps which are either epimorphisms or have empty domain, and the weak equivalences are the maps f:X→Y such that X and Y are both empty or both nonempty.

As $\Delta^{op}$ is a Reedy category. We can consider the model structure induced on $\mathrm{Set}^{\Delta^{op}}$. How does this model structure compare to the well known model structures of $\mathrm{sSet}$ (Quillen, Joyal)?

There is probably little hope, but can we hope a structure on $\mathrm{Set}$ which induces the Quillen model structure?