Hi Sai,
You can raise a Support case CA Support but as per as I can remember it is true that a resource having Project - Edit Management - All access right will be able to edit any attributes for any project.
Project - Edit Management - All
Allows user to edit the general and management properties, staff and tasks for any project that has been enabled for management. This includes the ability to add sub-projects to that project as well as to edit it in Microsoft Project and Open Workbench. This right also allows the user to create processes on any project and to edit the processes that he or she creates.
But still you can check with CA Support if it is expected an expected behavior that a resource having the given access right will not require any other access rights to edit an attribute that is placed in the secured subpage. Hope that helps.
Thanks,
Abhisek Dhar