As said before by other users and in other threads, there’s no need to have a “page” content type.
Content types are useful when there’s a different structure (fields) and view.
If you want to have a “page”, just exclude it from homepage and make it hidden. Disable post navigation and related post view. If you want to hide the title you can hide it via custom css or create a custom template for your theme. Maybe I’m wring, but I’ve seen a similar feature in the Meliisa theme available in the marketplace.
Hope it helps,