The original doesn't have an atip because it's pressed not burnt. All cdr/ws have to have an atip though so that your writer (which can detect the atip) "knows" that the inserted media is writable. Since all writers can detect an atip, you have to have Ignore media type (or hide cdr media) enabled if you want to play a copy of a game that has an atip check from a writer.
However, the overwhelming majority of ordinary cd/dvd roms can't detect an atip because there's no need for them to be able to do so.
Accordingly, if you play your back-up copy from an ordinary cd/dvd rom (and it's a good copy), you won't need Ignore media type (or hide cdr media).