So the screen on my iPhone 5s somehow became un-laminated from the LCD panel (not sure how) so I took it to the Appel store. They ran a diagnostic on the phone and I noticed my battery health was around 90-ish percent; possibly 88/89% health. They were obviously unable to fix my screen so they gave me a new iPhone. Assuming this new iPhone has 100% health (maybe even more), I decided to check to see if it, too would suffer the battery drain that my previous 5s experienced. Short answer: yes. I'm pretty much convinced that it's a software issue and not a hardware issue.