At least on iOS, recreating the "feel" of the scroll views is actually impossible with reasonable performance (the CSS 2d transitions don't have the correct interpolation options), so you can't make anything, at least there, that "feels" native.
So the browser doesn't scroll natively? Don't know the iOs scroll views... Still, an approximation would be nice, it doesn't have to mimic every teeny detail.
It does, but you can't scroll part of the page in the native way -- iOS users are very accustomed to the kinetic scrolling, anything even slightly different is enough to throw them off and make your app seem "weird".
