Admin versus Moderator and Groups

Continuing this discussion, I am curious how this would work with flags. If I am correct, both moderators and admins are notified (by a red indicator) when there is a flag, and both have access to the flag page in the admin menu. My concern, however, is how the “Something Else” flag would be treated. Right now it appears that that action create both a flag, and sends a message to the “Moderators” group. If the admins are removed from being a moderator (right now all admin are moderators too), will they lose access to this discussion?