As the article notes, this is something iPhone users find when trying other phones, and here its been quantified:
http://venturebeat.com/2013/09/19/a...een-is-2-5-times-faster-than-android-devices/
It's responsiveness, something that plays everytime you use the phone and it's always been a gripe every time I've picked up an Android phone. There seems a more direct connection between me and the hardware, from scrolling on out. It's more directly connected and interactive. Part of the sometimes hard-to-define 'experience thing' that other phones lack It matters to me far more than this or that small feature because again, it plays every time, every moment really I use the phone.
I love my Note 1, and I'm ok with the Android OS, but I will agree here. The Note 1 has issues regarding swipe motions. Unless you swipe just right, it won't react. If you do get it right (and I do 90% of the time), it does activate quickly, but is not superfast and likely not as fast as with the Apple(s). I'm not overly concerned about that, and would rather they widen the swipe motion space.