It is really faster, I would say as fast as Microsoft Camera.
Rich capture is good, so the dynamic flash. I like the fact that I can adjust the brightness after I took the picture.
Focus is good, except when you try to focus at night on objects that are far and with lights, then it's better use manual focus and set to infinity.
The shoot-to-shoot is really fast, but when you go back to the photo you just shot, you'll see that camera is saving it and you'll have to wait for 2 seconds to see it.
The long press with Full HD is good but the pictures are low resolution (2mpx), the smart cam in Lumia Camera Classic takes better pics (5mpx). So I use the long press for burst mode when you take pic after pic in a few seconds.
And there is better white balance in low light shots, a little bit warmer. And you can also take pictures in DNG.
But there are still some bugs...the app sometimes crashes and cannot be updated so it's still lacking the timer and when you go to the store, it will tell you that you can't download this app. Weird. But there's no message about updating phone when you press the camera button.