It's not like the PS4 didn't have a video-editor or twitch. :-/
It's just that they launched with all that stuff early on - instead of not having the services available at all like X1 did.
Now when 3 months later when X1 got these things, they've allready seen what's on PS4, and added smope upgrades like 720p stream-resolution, instead of 590p wich will also be patched in on PS4 during next update. And we'll also get a better video-editor wich also got more features.
The conclusion on this forum - is that Sony can't match Microsoft on software - despite beeing a few months earlier out with the services, wich is ridickolous.. :-/ It's just that the companies don't put out their features at the same time, and they watch and try to one-up eachother.. :-/
The PS4 allready launched with a video editor, but the editor were rather bare-bones out of the gate - with a very basic feature-set - you could basically only cut and trim videos, before uploading it. You could not merge together many different clips, etc or add narration after recording, add pictures, second layers, etc. That's what's coming in the new upcoming patch, we'll get alot of other new features, including easy export to USB and similar, to make it more convenient to publish to youtube and other services not supported by the share-featureset.
Alot of people also makes a big deal that you can talk to your xbox one - you can control most of your Playstation with voice aswell, both with the microphone and camera. It's alot more accurate, with understanding you, for example in regards to game selection, you can say 'Playstation Killzone' and you're golden, you do not have to say 'xbox go to forza motorsport five' like you have to on xbone.. .:-/
True Xbox one can control more of your external equipment, but it's not really that much faster way to get around instead of just using a remote/controller, from what I've seen on various videos. :-/
It's not a highly requested item at the share-blog either. :-/