I didnt actually install the game yet since its in my download que but it seems odd to me that it says its a demo after I purchased the game. Is that just a glitch and after the game is downloaded it unlocks the full version, or did something go wrong?
It also says it about some other free games from PSN+ store that currently is in the Download Management.
I dont think it will be the demo, I just tested it on another game that said it was the demo and even it said it when it was installing but one I opened the game it was the full version. Only way to tell I guess is once its done downloading ill install it and see.
Most download games on PSN (non-disc based indie stuff, etc) you download the demo, it's actually the whole game that you download, and then you purchase the unlock for the full game. When you buy it cold, you're doing both steps together.
Just to build on what the others are saying, it's my experience they like to download the unlock key first. They are typically so small it takes about 2-3 seconds to download and install on a decent connection. Perhaps you blinked.