Well.. There is no ticket for you to going back now, if the update screwd your phone, your stucked with it.
I am still stay at iOS 7 with my iPad Mini first generation and iPhone 4S. iPod touch 6, iPhone 6S, iPad Mini 4 and iPad Air 2 still at iOS 9.2. After all these bugs, I am not going to update.
I don't really care with my Android phones (Nexus, Moto, Xiaomi and Meizu), all I need to do is reflash old firmware and be happy (Nexus and Moto need flash files and adb commond, while Xiaomi and Meizu just need put .zip file on the root directory and hit restore).
Updating to x.x or x.x.x updates of the same main iOS version is not typically going to "screw your phone". It usually does quite the opposite. For me iOS 9.3.1 has been leaps and bounds better than 9.2.1. 9.2.1 was better than 9.0.2, etc.
However updating to new main versions (iOS 7.x.x to iOS 8.x.x), especially to x.0 versions (iOS 7.0, iOS 8.0) are the updates that will "screw your phone".
Keep your iPhone 4S and iPad mini 1 on iOS 7. iOS 9 will trash them in terms of speed, because it is 2 full iterations or main versions of iOS newer, much more to handle. Update your iPod touch 6, iPad mini 4, and iPhone 6S to iOS 9.3.1, they ALL will see ***performance improvements*** as they're already on iOS 9. 9.3.1 is simply a much more refined version of iOS 9... More refined than 9.2.1 even.
9.3 brought my iPhone 6 and iPad mini 2 closest to the superior iOS 8.4.1 performance they've ever been at since iOS 9. I don't understand your logic of not updating to a "point" release of the same main version. These pretty much always make devices work better than before as long as it's coming from just an older version of the same main release.
I'm surprised. I thought 9 would be solid as a rock by now, the way 8, and 7 were in years previous. I wonder what the underlying issue is behind the scenes. Maybe their top software geniuses are working on something else? Like a copy of Amazon's Echo?
iOS 7 and 8 were not rock solid until the final versions of the respective releases. iOS 7 had TONS of UI glitches and springboard crashes, it was slow, laggy, bad. iOS 8 was slow, laggy, bad, springboard crashes as well, more jetsam events, copy and paste was impossible, couldn't delete iCloud safari tabs, etc etc etc... iOS 9 still has work to be done just like iOS 8 did at its earlier-mid stages.