“Admin menu access” module shows menu items list according to the current permissions granted to the selected role. Generally if role does not have permissions to see menu item, there is no need to block it via extension like “Admin menu access”, as such menu should be not available for user.
Some plugin defines its admin menu in more complex manner, checking user permissions directly, but using lower capabilities, like ‘read’ or ‘edit_posts’ in the menu definition code. If you meed with case, when “Admin menu” does not show menu item for a role, but user sees this menu, let me know, what menu item and to what plugin it belongs. I will investigate it.
