I think that should update the * mark and the toolbar’s “Save” button or menus’ “Save” commands together to fix it.
You may check out your Emeditor’s source code around updating the document’s caption of the * mark , to add some code to update the toolbar and menu.
What version of EmEditor are you using? Are you using the latest version? I cannot fix the issue unless you explain more details about the issue and how to reproduce the issue.