Recall that for a scheme $X$, it has the resolution property if every coherent sheaf $E$ on $X$, is the quotient of a finite locally free $\mathcal{O}_X$-module.

On the other hand, Ben-Zvi-Nadler-Francis proved in : https://arxiv.org/pdf/0805.0157.pdf that for a separated quasi-compact scheme,one has $\mathit{QCoh}(X)=\mathit{Ind}(\mathit{Perf}(X))$, where $\mathit{QCoh}(X)$ is the $\infty$-category of quasi-coherent sheaves and $\mathit{Perf}(X)$ the category of perfect complexes. In particular, for a coherent sheaf $E$, one can write it as a colimit of perfect complexes $E_{\alpha}$. In which case, can we use this result to deduce that $X$ has the resolution property? Do we have a counter-example of a separated quasi-compact scheme that does not have the resolution property?