Ever since Administrators lost the abilities to promote and demote chat moderators in chat, due to an oversight during a clean up, they lost the other abilities that the chat admin permission is supposed to give them as well. Here are some changes that happened as a result.
Groups with chat mod permissions (chat mods/discussion mods/vstf/helpers) no longer have the options to kick or ban users that have chat mod permissions, but they can now kick and ban other chat mod groups with JavaScript, including admins which could previously only be banned by other admins or kicked/banned by staff. They can now also unban themselves if they are banned.
Groups with chat mod and chat admin permissions (admins) no longer have the options to kick or ban other users with chat mod or chat admin permissions. But they can still do these things using JavaScript. However admins can also now kick other admins from chat which was previously not possible, and can be kicked/banned by other chat mod groups which was also previously impossible.
My suggestion was to have the creation of a script that would give administrators the ability to kick and ban chat moderators from chat. And the ability to ban other administrators. Also it would be nice if there was something that could stop chat moderators from being able to unban themselves if they are banned because they were never able to unban themselves prior to the update back in late June of this year.