Absolutely, and I often use the example of other trust-based professions: teachers, doctors and lawyers. We all have public disciplinary records. That's because we're in such a position of power and such a position of trust with the public. It's recognized that we give up some of our privacy rights in an effort to protect the public if we abuse that power.
I see that being analogous to the position that coaches are in, especially in sports such as gymnastics. The people over whom they have power are these very vulnerable children. Why wouldn't we have a publicly available discipline record at that point?