Why was Trotsky's role in the civil war so important?

In April 1918 when Trotsky was appointed commissar of war by the government it was a major turning point in the civil war. Whilst Lenin was working on the land that the Bolsheviks had and trying to ensure that it did not fall into the hands of the whites, Trotsky began to eradicate people who were against the Bolsheviks.
As a military commander he was able to do with the army what he wanted and despite being untrained, his philosophy and organisation meant that he excelled in the role. His philosophy was simple and strict - if a commander in the field failed; he paid the price, if a whole unit was at fault; they paid the price. This threat meant that the soldiers became well disciplined and as the white army certainly wasn’t, it gave the reds the advantage. Not only did Trotsky punish people, but if they were particularly courageous or showed initiative then they were quickly promoted and this acted as a motivator for the soldiers.
Most of Russia’s train lines were within the land that the reds occupied and that led to one of the most memorable things Trotsky did that involved him going around all the frontlines in an armoured train and visiting troops. Trotsky did this regularly which meant that he could never been seen as a fake military commander who stayed away from the fighting and because of this people looked up to him more and trusted him which consequently, meant they always followed his orders and the army therefore was always in unison and working together to defeat the whites. As a result of Trotsky always travelling around, it made communications easy so orders could be sent quickly through people such as Trotsky and this was important for the war as it meant the army could react quickly and always have the upper hand. Also, because much of Russia's industry and raw materials was located along the train lines it made it possible for the Bolsheviks to keep their troops supplied and equipped with weapons, ammunition and supplies throughout the war and this meant that they always had the best chances against the reds. Not only this but as commissar for war Trotsky was able to move troops and supplies rapidly to areas under attack and take personal command which meant decisions could be made quickly and the army could react quickly to any advances and ensure they held their ground. This happened many times as during times of crisis, Trotsky readily assumed personal command of areas under threat, inspiring and encouraging the troops to greater efforts, and to the eventual victory.
The fact that the reds were successful in the end proved that Trotsky’s harsh discipline worked and he was one of the main things that kept troops motivated and determines throughout the war which made them more likely to be able to win. The main reason he was so important during the civil war was because he was all about practical and not theory. Most other commanders focused on the theory and planning of everything, whereas Trotsky got on and just did things. This made him unique because he got things done and this meant his troops always reacted before the whites and had the upper hand and this was ultimately what won them the war. Therefore, in my opinion, Trotsky’s discipline and quick reactions was the reason for the Bolsheviks winning the war.