Yes! The only difference is that overlays will appear during the trial which do not appear after purchase. (See related FAQ). You will receive a full copy of the game from the start - so it works well without the challenges that a demo would normally face.
However, we can only send you a Steam™ key if you choose to purchase the game, therefore some Steam™ functionality is not currently implemented, such as Steam™ Achievements and Multiplayer features.
We’re working hard to add more and more of these features as we develop the platform.