This paper presents a comparative analysis between human translation (HT) and post-edited machine translation (PEMT) from a lexical and syntactic perspective to verify whether the tendency of neural machine translation (NMT) systems to produce lexically and syntactically poorer translations shines through after post-editing (PE). The analysis focuses on three datasets collected in professional contexts containing translations from English into French and German into French. Through a comparison of word translation entropy (HTRa) scores, we observe a lower degree of lexical diversity in PEMT compared to HT. Additionally, metrics of syntactic equivalence indicate that PEMT is more likely to mirror the syntactic structure of the source text in contrast to HT. By incorporating raw machine translation (MT) output into our analysis, we underline the important role post-editors play in adding lexical and syntactic diversity to MT output. Our findings provide relevant input for MT users and decision-makers in language services as well as for MT and PE trainers and advisers.