"Ah. Thanks. I guess the hunt for the Damaskeene continues. Still a very nice razor, though. Thanks!"
Others opinions will differ but I don't think the "Damaskeene" shaves are better in any significant way. The only difference I can tell is by the sound, they sound different. My advice is enjoy the one you have. It is among the best razors that can be had at any price.
If it does not say "Use Damaskeene Blades", then it is not a Damaskeene. Most of the Damaskeenes you see have the curved head, but not all. Mine does not. And the 1912 heads are different from each other as well. I have some that are flat, and I have some that are curved. Of the ones that are curved, I have variation as well. I have two different levels of "curvy-ness".