What I have personally experienced, as an athlete and a coach, especially in sports requiring very long and numerous complex motions involving both conscious and unconscious (Proprioception) motor skills, is that I agree with Kirk that the unconscious action ("The FEEL") is superior to the conscious action, because once learned and perfected (Through numerous correct repetition) it provides a seamlessly smooth and faster action by far than the conscious action is capable of.
However, the numerous movements are so complex and the precision required to perform them correctly is so high, that it in order to learn them in a time that is practical, the conscious actions should be taught first. This should involve every component of the vault. If the vaulter and coach is not capable of seeing and feeling the entire vault in perfection in their minds eye (Consciously) from the first step to landing on the pit how do they expect it to occur during the actual vault? It is only after they are capable of doing that, that the superior unconscious proprioception actions can be developed and seamlessly employed. In order to learn the complexities of the vault correctly in a practical time frame, the coach must make every effort to teach every section of the vault by providing sensory-biofeedback cues to the vaulter as check points for the timing and positioning of these motions until it becomes autonomous. By doing this, the development of proprioception is greatly accelerated. This is what a Biologist had to say about the development of proprioception:
While proprioception is necessary for learning a type of movement or skill involving muscle, concentration from the I-function is essential as well. Once the skill, such as the appropriate movements of driving or the movements a baby must accomplish to walk, have been conquered and learned the I-function is not as functional during these tasks. The proprioception and motor systems can take over, utilizing a feedback system to accomplish a job that the unconscious brain already has learned. The I-function can go on to do other things, because it would mainly just hinder smooth muscle processes with to much thought and analysis.