Its doesn't have quick resume.... but one would think that they at least would "save" and close the game before rest mode, even the PS3 can do that.
Xbox quick resume works even after power down, and works with up to 5 games that you can switch between, I am not talking about that. Although I must admit that the quick resume spoiled me. I am now use to leaving the console on when I go to the shops or such.
Disable rest mode for now, cause If I come back to a dead game again I might scream, esp when I loose progress
Edit:

Ok so glad I turned that feature off then.