Ancient "Greeks" seemed to have pretty good horse collars by about 1000BC,
http://www.salimbeti.com/micenei/chariots.htm, suitable for pulling double chariots. It seems they could provide some motive power without strangulation at least, via what is now termed a breast-collar harness.
However this http://www.machine-history.com/sites/default/files/images/ho... shows the issue, some of the artwork from Greek times seems to match with part 2. of that image, some not far from part 5. So it was, it seems, seen that the burden needed to be pulled from the horses chest and not from the neck per se.
www1.hollins.edu/faculty/saloweyca/horse/h_tack.htm describes the issue in detail and makes the same claim for the Greeks; again stating that the Chinese developed the horse shoulder harness in about 300 BCE.
An interesting subject, thanks for your citation.