We apologize for the inconvenience.
First, it's important to understand how the frontend editor works. To access the frontend editor, you must be logged into the frontend of your Joomla site with a Super User account. Once you're authenticated on the frontend, you have permission to edit pages directly.
The reason you're still seeing the "Edit Page" button after logging out is that Joomla manages frontend and backend sessions separately. Logging out of the Joomla administrator (backend) does not automatically log you out of the website frontend.
Since you're still logged into the frontend as a Super User, the frontend editor remains available, allowing you to edit and save pages.
Please log out from the frontend of your website as well, then refresh the page. The "Edit Page" button should no longer be visible.
I hope this clarifies the behavior. Please let us know if you continue to experience the issue after logging out from both the frontend and backend.