The politics around the Light Brigade's conduct at Balaklava are almost more interesting than the action itself. It was a great embarassment for the British because they held the Russian Army in such contempt. (The Brit's were contemptious of just about everyone in those days.)
The "old boy" network in the British Officer Corps was what caused the disaster. Neither Raglan, nor Lucan were fit to lead; Lord Cartigan was an over dressed fox-hunter; the lot of them ought to have been retired, but the social hierarchy over ruled common sense. The incompetance started at the top, and the blame started at the bottom. Each attempted to blame his subordinate, when it was the duty of the C/O of the Light Brigade to soberly observe the course of the battle and the lay of the land.
As for Capt. Shakespear, it is hard for one to remember an order that was never given. The Horse Artillery could not have saved the Light Brigade, they would only have lost their guns. He discribes that the other officers he met were all talking to him informally, one does not deliver orders informally.
If the British General Staff has written & exchanged their orders as exactly on the day of the battle as they did when defending their actions in the press... well, we wouldn't be discussing it now. What was "missing" at the charge of the Light Brigade was a competant General Staff.