The battles are an interesting echo through history. Perhaps the lesson is simply "hold the high ground".
One could think so, but then about 150 years later the Hungarian chivalry (and pretty much the Hungarian kingdom itself) was annihilated by the same Ottomans at the battle of Mohacs, where there was no "high ground" involved. From the wiki page [1]:
> Hungary built up an expensive but obsolete army, structured similarly to that of King Francis I at the Battle of Pavia and mostly reliant on old fashioned heavily armoured knights on armoured horses (gendarme knights).
By that time the Ottomans had already started making heavy use of artillery (which is also one of the main reasons they had taken Constantinople back in 1453):
> The Ottoman army was a more modern force built around artillery and the elite, musket-armed Janissaries. The remainder consisted of feudal Timarli cavalry and conscripted levies from Rumelia and the Balkans
If my understanding is correct, the existence of gendarme knights was deeply entwined not only with the concept of nobility in Europe, but with the economic foundations of Feudalism. The structure of which was primarily focused on a how a unit of population could field a single knight into battle. In short, a different army would require more than just additional training or logistics, but an underlying societal shift. Just as Feudalism rose because Martel recognized the effectiveness of armored cavalry, it would take the adoption of gunpowder, which specifically made armored cavalry ineffective, before there was need for another restructuring: one that led to professional armies and eventually nation states.
It would be pure hubris to believe we're done with these sorts of societal shifts. Just as nuclear weapons made large-scale warfare between nation states pointless, we may find that drones, and other weapons that allow cheap, asymmetrical force projection, may make even smaller engagements an exercise in mutually assured destruction. And that could challenge the entire nature of the American military-industrial complex and its global facsimiles.