The S-View case WILL begin to close nicely after a few days. Until then, you will notice the front cover raised slightly when in the closed position.
However, bear in mind the S-View cover will interfere dramatically with any compass app you may use.
Also, the notification LED is not visible when shut. In fact, when shut, the LED is only enabled when charging and not at all for notifications.
Because of these 2 fundamental design flaws, I decided to ditch mine and put on a screen protector instead.