Baker no doubt utilized swipes, as his friend & assistant Frank Giusto says in the book Matt Baker: The Art of Glamour, "...I'd be going to his apartment to work with him and collect swipes..." Did Baker use "swipes" in the strictest sense of the word? Probably not. He was more likely "inspired" by the items in his clip files, as evidenced by the differences you note between the Greek magazine and Cinderella Love 25.
I assume you're making a joke when you say maybe you don't know much about Baker and then ask if he was Greek. Matt Baker was African-American. He lived in New York City, aka America's Melting Pot, with cultures from all over the world. It would not be out of the ordinary for vendors to display Greek magazines, like the one that inspired Baker's Cinderella Love 25 cover.