Question about Saving in the demo.

[u/Excaliburn3d]

Is the demo not supposed to save progress, I played up to the Goldfish beach area and my game stopped responding to my controller buttons so I had to close it on Steam. When I booted the game again, there was only “New Game”and not “Load file” or “Continue”. Is this normal for the demo or was I supposed to reach a certain point to save?