Teuton Scouts in Post Imperial beat Byzantine Hussars in Post Imperial

65 HP vs 75 HP

9 attack vs 9 attack

5 Melee Armor vs 3 Melee Armor

1.55 Speed without Husbandry vs 1.5 speed with Husbandry

Less LOS compared to Byzantines(Not sure about the numbers)

6 bonus damage against Monks vs 12 bonus damage against Monks

One attack/2 seconds vs One attack/1.9 seconds.

If your enemy lacks Bloodlines OR Blast Furnace, take those fights. You'll trade evenly. If both, as I showed above, you win.