Well, Kotaku made an interesting article at http://kotaku.com/installing-xbox-one-games-takes-way-too-long-1471191836 testing how long does it take to install a game on the XB1 vs the PS4.
The results are interesting to say the least, here i will put an excerpt:
"How Long Until You Can First Play A Game On PS4 And Xbox OneP
[Since this has been asked in the comments a lot: We recorded these times with the consoles hooked up normally. Even though having the PS4 plugged into the Xbox shouldn't affect anything, we only did that for the video]
Assassin's Creed IV:
Xbox One (offline, no update): 5 minutes 50 seconds
Xbox One (with update, fastest connection): 7 minutes 2 seconds
Xbox One (with update, 10Mbps connection): 10 minutes 32 seconds
PS4: 42 seconds
"
The results are interesting to say the least, here i will put an excerpt:
"How Long Until You Can First Play A Game On PS4 And Xbox OneP
[Since this has been asked in the comments a lot: We recorded these times with the consoles hooked up normally. Even though having the PS4 plugged into the Xbox shouldn't affect anything, we only did that for the video]
Assassin's Creed IV:
Xbox One (offline, no update): 5 minutes 50 seconds
Xbox One (with update, fastest connection): 7 minutes 2 seconds
Xbox One (with update, 10Mbps connection): 10 minutes 32 seconds
PS4: 42 seconds
"