Fair enough, although the Cato report glosses over or ignores a lot of interesting subtleties in its cited sources (e.g. the FRB Atlanta report [15]). For arguments that minimum wages reduce employment, I'd sooner trust the various NBER working papers on the subject: https://www.nber.org/papers/w12663 https://www.nber.org/papers/w23532 https://www.nber.org/papers/w20724

Does any of that research suggest that a zero minimum wage is optimal in some sense? No. But I will grant you that raising the minimum wage might not do what we hope it would do.