I think maybe this post would make more sense if you were familiar to its antecedent [0] which compares existing closure extensions to C. IIRC the comparison was in the context of considering designs for standardization.
C does not currently have closures, the post it looking at their performance properties with an eye for what form closures should be added to the standard.
C does not have closures. You could simulate closures, but it is neither robust not automatic compared to languages tha truly support them.