It should probably not come as a big surprise that the clip has as much to do with the battle of Edgehill as it has with an anthill. Frankly some of those moves look more like someone trying to recreate the battle of Gaugamela in 331 BC.

I can only conclude that the scenes exist more to characterise Cromwell and other participants in the English civil war than anything else.

You'd be better served to crack the spine of an Osprey book detailing in battle than watching that movie. E.g. Campaign 082 - Edgehill 1642 First Battle of the English Civil War (2001) by Keith Roberts and John Tincey.

Just the minor detail that the battle started somewhere between 2 -3 PM (the accounts of the time differ) should tell us something. I couldn't even figure out how such a mistake can be made until I find in the Osprey book a description from a Parliamentary officer at the time where the Parliament army is drawing up to face the royal army again *the next day* at 9 or 10 o clock on the previous day's battlefield. The royal army is in disarray after getting it's infantry mauled and eventually decides to deny battle as they are in a race to reach London. The Parliamentary army however does win that race even though on the day of battle it seemed they might be losing that race with the King's army closer than they are.

There probably are cases were parley and such agreements have been made, history is long. But this was not one of them.