FWIW, I read an analysis of the what happened with the Light Brigade, and it boiled down to a misunderstanding of vague orders, with the green, relatively untrained commander ignoring the nearer, first enemy unit, and going head long into canon fire, with the first enemy unit raking a crossfire into the cavalry going in, and then more raking crossfire into the retreating survivors on the way out.
Not quite apples to apples with what the US Army unit did.
Can’t imagine battles often went quite the way people planned them. And in those days you didn’t know what was going on at any point except for riders bringing reports. Amazing things worked out as well as they did before they could use balloons for observation.
The charge is an excellent example of How Things Go Wrong. Raglan and the British staff were up on a ridge and enjoyed a panoramic view. Cardigan and the Light Brigade were in the valley with a very limited view. What was self-evident to Raglan was invisible to Cardigan, who was ordered to charge a captured battery to prevent the guns from being hauled off by the Russians. But Cardigan couldn't see that part of the field. He charged the only guns he could see. The staff officer who carried the message, Captain Nolan, apparently notice the mistake and was galloping to overtake Cardigan, presumably to redirect the charge, when he was killed by a Russian cannonball.