This was a nice take on the theme by making the character a memory-loss patient who cannot control the loss of his memory every day and their friend who cares for them alot and has to deal with it.
It's a nice story to watch unfold and see how Riley reacts each day. I managed to get through all five days without the game ending early which I hear can happen!
I will say though that I agree with some of the other commenters that I think the wait timers don't add to the experience at all and actually take away from it. I think there's more elegant ways to blend immersing the player with a feeling of helplessness rather than actually forcing them to wait. I actually think the story would work well enough on its own without the timer and would be better without them.