I've always been told that "once you're a coach, you're always a coach." In addition, principals love when newly hired faculty is willing to help coach or volunteer for a club. If you're asked this question in the interview, how would you respond? If a principal asks if you would be willing to sponsor clubs or coach, yet you think it's something you wouldn't want to do, would you tell them? How could you answer this question without saying a flat out "no?"
Openness to helping in many ways is going to get you remembered.
I love how you worded the response to the interviewer if coaching is not a teacher's prerogative.
Also, I was a coach and am not anymore! I was young and then had babies...they are a good excuse to not coach! Once you are established it is easier to say no!