This. People need to stop exaggerating, for example...
Haha. Yeah, I actually find it faster for certain things. For example... entering a passcode, the passcode screen seems more responsive.
In iOS 6, very often I'd get a lag when entering a passcode which could skip some numbers and I'd have to start all over again. With iOS 7 it's super smooth.
Safari is the most noticeably improved built-in app. It launches faster, has much less lag, and just generally feels much faster than iOS 6 Safari.
I didn't do a restore either, just a straight OTA update.
I feel that the battery is very slightly worse, but it's not a deal breaker.