The only way to anonymously edit a question is to use the Anonymous Edit Link. From the public question page, no one will be able to “go anonymous” and anonymously edit a question. This applies to everyone, including the person who asked it. So, if you do not want others to be able to anonymously edit a question you asked anonymously, do not share the Anonymous Edit Link with anyone else.
From the public question page, anyone will be able to publicly make edits to the question, its details, or applied topics. All of these edits will be associated with the editor's name in the question's edit log.