I assumed it would still be downloading in the background, but it's not.
Does that mean it will continue to finish downloading whenever I start the game up? I think there's 8 GB left or so.
I swear the PS4 better have better servers. I started my download about 12:30. Wake up to find out only half was downloaded, apparently my PS3 turned off due to inactivity for power consumption. So I went to start it up again and it allowed it to download some more and it showed at 67% that I could play the game but just decided to install the whole game. I came back to see that I was signed out of the network and it stop downloading. So I signed back in and now I am about 80%.