Only in the sense of passing on a curriculum which is no longer that which was taught to you.I don’t see a kata as being like a work of fiction. If someone wants to emphasize certain principles and/or movements, changes to the kata may reinforce those. Why should it be necessary to start from scratch and create an entirely new kata, rather than using a base that has already proven useful?
Say I learn kata A with taught meaning of B, but I don't care for that and change the kata to C and the meaning to D. Fine. But if I am an instructor, my students will think the style contains kata B with meaning D, and kata A is lost. Is it then the same style? Is the kata still named whatever it was originally?