The culprit is Quad HD. I read some reviews before buying the G3. I also read the user reviews.
Before and after the 5.0.1 update, "Screen" always used and still uses more, a lot more, battery on my phone than any other app.
Here's a starting point:
Quad HD vs 1080p vs 720p comparison: here's what's the difference
There are newer articles concerning the differences between those three.