I don't think the
DMG in that auction is a first print but rather one that has a misprinting on the cover that is similar to the 1st prints.
If you look at the top of the one in your auction, the "Dungeon Masters" line at the top is really close to the top edge - so it was printed really high up on the book. If you bring it down to where it should be, the "D" will then fit into the banner. Also, the "2011" in the auction book looks like it is too far to the right for a 1st print.