Disregarding who actually had access to that healthcare and education (since by similar definitions of who had access, the West had both public services by the classical Greek era)...No major wars? Really?

Even ignoring the phrasing that could be read as claiming no major wars since the medieval era, we don't have to go so far back. I mean, sure, the Cultural Revolution killed more Chinese people than WW2 and the Korean war did combined, but that's still eleven million or so Chinese people dead in those conflicts.