In camera and battery LG G2 is better than Nexus 5.
LG G2, have more application at start than Nexus 5.
For having an idea :
LG G2 : front camera : 2.1Mp | back camera : 13 Mp
Nexus 5 : front camera : 1.3Mp | back camera : 8 Mp
LG G2 : 3000 mAh, Sleep (3G) : < 900 h, Alive (3G) : < 17h30
Nexus 5 : 2300 mAh, Sleep (3G) : < 300 h, Alive (3G) : < 17h00
The negative point is for now LG G2 is in 4.2.2 and Nexus 5 is in 4.4
I hope it answer to your question