Hi
So I updated my iPhone 4 with iOS 7 BETA 1 a few months ago and went from BETA 2 to 3 etc. until I went from the last BETA version released to iOS 7.0
My iPod Touch 5th Gen was updated when iOS 7 was released. I posted the other day that my iPhone 4 was working fine but my iPod had glitches and was all around buggy.
I started noticing that people that went from the BETA to iOS 7 have had almost no trouble. People buying iPhone 5C's & 5S's have also had no trouble.
So I thought that since there were a lot of server issues when updating that it may have had something to do with that. So I backed up my iPod, and restored it from the back-up and now it's working a lot better and has almost no glitches.
I tried this with my Mum's iPad 2 but she's still got less battery life. So there is a chance, but it's not definite.
So try backing up your phone/iPod/iPad etc. and restoring it without the server issues (even if yours didn't take long to download) and see if any bugs have been fixed.
Post if any problems you had are fixed. If not, get ready for iOS 7.0.1