Meaning that there are Kata that focus on other parts of development which are not fight specific but play a role in training and ultimately a role in fighting.

The same way flipping a tractor tire over and over is not a fighting drill, but the results ultimately help your conditioning, and thus your fighting.

That sounds reasonable. What, for example, are the focus of these kata? Could you give an example?
"Its only pain, it wont hurt you"