Not that we’re going towards feudalism but history has a cycle of armies going from a small force with a huge technology edge to a giant force with mundane tech. Even during the Roman Republic only the richest men could afford to fight.
Also, the thing about a village supporting one cavalry soldier seems off. The roman army focused on infantry with cavalry being supplied by allied forces.
They were of course small compared to infantry legions, and as the Republic and later Empire expanded they frequently hired auxiliaries, especially from a more cavalry focused groups.
Also possible that they're thinking of the Roman Kingdom and the Equites?
What an interesting data point.
The South had trouble to support their armies. Lee basically planned the Gettysburg campaign to live of the land. Soldiers were happy because they had enough to eat. A lot of soldiers lacked shoes.