Battery Life?

I currently have a Verizon Galaxy S III, running stock Android 4.3. The battery life is horrendous; I bought a new OEM battery, but the 4.3 update seems to have negated any benefits, with continual battery drain and minimal usage. I've resorted to buying an aftermarket battery that doubles the thickness of the phone, but increases the battery life to days, instead of a few hours.

I know some versions of the S III are already getting updated to 4.4. and wanted to know if anyone out there can report if the battery life gets any better with the newer software? Here's to hoping some of you are still running with this old dinosaur of a device.