Now what could be done to make up for the lack of speed is to change the process itself. It is why there is such a drastic difference between installing a game on the One and on the PS4. Sony clearly acknowledged the fact it is still a painful process and just requires an initial install to get the game to a playable state and the rest of the install happens in the background while one can launch the game. MS appears to have chosen the more tried and true approach of requiring the entire game to be installed first.
So it is crazy that while so many years have passed, the process itself has not gotten any better, and in fact it appears to be worse then ever.
Yeah Sony right now has the faster method of installing games. My ps4 game installs are definitely faster to get me into the game thanks to the process of streaming the rest of the data while I'm in the game.
The weird thing is that MS has this option too (whether that is applying updates or just installing from a disc, you do get a chance to place the game before its done), but it doesn't happen as quickly as on the ps4, so there is clearly room for improvement.
It's weird too, because MS already experimented with "tray and play" back in 2007 with Halo 2 on PC. Blizzard still use this method with every game in their lineup today.
Perhaps the traditional install method is to allow devs to place data on the disc where they like, but with the latter this isn't possible or even slower.
MS has even more experience with the whole use software before its done installing thanks to their efforts with Office and the 'click-to-run' functions.
I'm not sure why MS has not been able to offer the same performance for games that it does on the pc for software or to match what Sony is doing, but considering its a software issues, maybe they can fix it.