That's correct.
I can really only speak to gymnastics because that's my experience. Gymnastics Canada has a list of those suspended and banned that is publicly available; however, there's no discipline history that is provided publicly. If someone is suspended for a year, for example, it will show up that they have been suspended. As soon as their suspension is over, their name disappears from that list.
There's no way for parents to know whether they're being coached by someone who actually has a discipline history, and certainly there is no national coaching registry that would show the discipline history of coaches in other sports either. There is the theoretical possibility that a coach could be banned from gymnastics, for example, and then begin coaching in soccer, football or hockey. There's no clear way for parents or individuals to track where these coaches end up after they've been disciplined.