It can be said the the essence of the Kata should blossom from the center of your soul. You actually become the Kata within “no thought” and demonstrates the essence of spirit and being. This is a powerful state of being in the moment. It take dedication, focus and concentration over many years of training to master a true state of internal power. So if you think of Kata in these terms I describe, Yes, the Kata is a relative reflection of an individuals spirit and much more.
It can be said that one does progress and makes a Kata their own within Mastery. First we ask the student to learn a specific style and demonstrate to the best of there ability this style through the Kata. Normally from white belt to 1st degree black belt we like to see the Kata like we teach it taking into consideration the students ability or handicaps if any exist. From 1st black to 3rd black we like to complete a Mastery of the Kata and develop a firm understanding of training and teaching others the style being taught. From 3rd degree black belt and beyond a student can begin to create their own Kata adding techniques and so forth. Most instructors find it challenging enough to just teach the essence of the original style.