There are at least two reproduction S2 rims which have two rows of knurling. The differences are subtle and it will help you to visually and physically study all of the offerings. In the meantime, without visual context it is impossible for us to teach you the difference, one from the other. Allow me to suggest a tried and true approach: submit actual pictures of the items in question to the forum. There are people here who are extremely knowledgeable in a wide variety of intricate and subtle idiosyncrasies associated with just about every bike that was ever manufactured, not just Schwinn and not just the Schwinn Phantom.
Remember, a picture is worth a thousand words.