It's because they are aware, to some extent, that there is more to them than any label can indicate. On this point, there is a significant and interesting phenomenon, namely, that people with little polytime awareness really resent being labeled while people with much polytime awareness, being aware of the game, and rather revel in it. They enjoy the process itself, for, the process is Life. In other words, Sages are beyond praise and blame, just as the Vedas declare. They are always doing the work they came to do and they pay no attention to accolades and diatribes, caring for neither.
Sages care only for their work, which they accomplish.
Then, they leave. To resent labeling, therefore, is evidence of low awareness. Or, those who fight against departmentalization are themselves departmentalized. Or, the faults we find in others are just the faults we have in ourselves and nothing more. So, it seems to me that this character who operates in polytime would make a really interesting and literary phenomenon.