An analogy here is that Custer sent Reno and Benteen off on wild goose chases to attack both flanks of the camp, but they both kinda cocked up - not actually really their fault though as the Sioux completely outmaneuvered them and trapped them on a hill on the other side of the battlefield. And all three of them detested each other.
That is well-documented. What is less well-known is that some troopers did get into the encampment (I have a hard time calling it a village, it was too damned big). Anyway, despite getting a few rounds off at the Natives, they were never seen again.
It certainly is a question of what he would do. I mean, LBH was essentially a clean-up operation. And most Indian Wars take months, if not years. Montana is vast and on the border of Canada. The Sioux/Cheyenne camp was larger than Custer expected and believed, and at best even if he wins at LBH, he is still going to be there for months if not a couple of years securing the region.
I guess you could say that he may bring an end to the wars earlier, maybe an earlier Wounded Knee analogue, make more Indian Reservations.
I have a problem with some of these thoughts. Most seem to be forgetting that Custer was a Light Colonel and in charge of a Regiment. He was not in charge of the operation, those were Col. John Gibbon, (six companies [A, B, E, H, I, and K] of the 7th Infantry and four companies [F, G, H, and L] of the 2nd Cavalry), Brig. Gen. George Crook (ten companies [A, B, C, D, E, F, G, I, L, and M] of the 3rd Cavalry, five [A, B, D, E, and I] of the 2nd Cavalry, two companies [D and F] of the 4th Infantry, and three companies [C, G, and H] of the 9th Infantry) and Brig. Gen. Alfred Terry's column, (twelve companies [A, B, C, D, E, F, G, H, I, K, L, and M] of the 7th Cavalry under Lieutenant Colonel George Armstrong Custer's immediate command, Companies C and G of the 17th U.S. Infantry, and the Gatling gun detachment of the 20th Infantry).
The only person who seems to have insured his hero status was his wife Libby, who wrote several books about her husband. While he had a large role, he was not the only one in charge and if such a debacle occurred nowadays, he would have been thoroughly blamed for his incompetence.
Regards,
John Braungart