No, the stuttering is still there. But I would have to say it's only noticeable to the critical eye. Otherwise, it really has no effect on the performance or functionality. By the way are you running an AT&T or Verizon (CDMA) phone?
Hm, that's an interesting question. In my case, AT&T. Perhaps that makes a difference?
There may be differences in the background processes alive in our respective units, too. And that has to do with what apps are loaded, what location-based and other services may be enabled for them (and for iOS in general), etc.
In any case, while I'm eager to get my 5S, iOS7 has made a noticeable difference in my 4's usability and all-around niceness. What a nifty and beautiful little device, antique though it is.
Anyway, I hope your 4 wakes up snappy today.