Cavalry and chariots against infantry

[Robert Vermaat]

But far less interesting because they lack (in many cases) the opportunity of direct comparison. Winged Hussars are no Roman cavalry, massed pikemen are no Roman infantry.

One of sources which I quoted says that horses used in Europe during the Roman era were most probably smaller than, for example, Medieval horses. It also says that we don't have enough archaeological discoveries of skeletons of horses from that time to determine this for sure...

I have read that as well, which is why in Roman re-enactment we do not want horses that are too tall. One more reason to be carful about comparing Medieval (and later) warfare to Classical warfare.