When I Jailbroke my iPhone 4S last time, it got a bit slow (not all the time) and the battery seemed to do weird things. One day I would get decent battery life, the next day the battery life would be so poor. I couldn't find the culprit. When Apple released iOS 7, I switched to it ASAP, which made me give up the Jailbreak.
I was never happy with the performance of iOS7 on the iPhone 4S. When I upgraded to the iPhone 5S, I immediately felt the speed improvements. But even then, the UI on iOS 7 is laggy. Actually, it is the animation part that is laggy. The fade in and out part. Sometimes it drives me insane! I like stuff that works quickly - stuff that responds quickly. Even if it is only a split second, I can very much notice that.
There is only one fix for this. Jailbreak and use a tweak that speeds up animation. But I don't know if the tweaks available on Cydia for this purpose are compatible with iOS7. Well, there is only one way to find one. It's time to Jailbreak and see.