One caveat is that some moderator actions are directly linked to SO instead of the team, and then an admin will have to manually copypaste the /c/<teamname> part to perform that action. For example, the link in the screenshot below doesn't work. Note that 20 is the user ID of the user in question.
The docs state:
Apps must have a registered Stack Apps post to write. All content created via the API will have links pointing back to an app's Stack Apps post, to aid in giving an app's author feedback and in reporting abusive content.
I'm hoping this is what they mean, and that this is that post.