This is harder, because you're essentially forced to calculate (in a low conscious way, of course) distance/speed to know for how much time you should turn the stick.
There's no fundamental reason this has to be the case, of course; if the developer wanted to, they could use stick input as position rather than velocity. Conceptually, this is no different than using a high resolution trackball.
We'll see of course, and since the controller will be "hackable" I think there will be many way to use the controller for many types of games.
Edit for spelling
My suspicion is that the difference is more of a calculus problem. Moving my thumb on the trackball by a given amount changes my position by a proportional amount. On the other hand, for most games, moving my thumb on the stick by a given amount changes my velocity by a proportional amount. To put it differently, if I'm aimed at a stationary target with my trackball, I remain aimed until as long as I don't move my thumb. With a stick, if I'm aimed at a stationary target and don't move my thumb, I'll keep turning at a constant rate.
Like the first expensive optical mouses, trackpads will get more and more resolution and get cheaper and cheaper.