I can only speak for myself, but at the moment, a large phone for the sake of having a large screen, with no other advantage or reason for being so large, seems to me, overkill.
Its odd that with a 5.5 inch screen phone, that the sPen and the pressure sensitive screen somehow in my mind make the size of the Note 2 acceptable and justifiable even though I know its a huge phone and the LG is practically the same size
The battery life on both phones is also comparable.
You may also take into consideration the software update timeliness with LG if that will be an issue for you perhaps not always getting the latest Android updates until some time after they are released, if at all. (not claiming a winner between them)
Important to me would be whether there was a community I can access to try roms, tweaks to change things up when I get bored of the same thing over the period of a contract.
Also you have to decide whether its important to have a larger memory than 32gb and an SD card slot.
The camera seems to be better than the Note 2 and obviously the screen. Having not seen the screen and handled the phone in person, I can't comment whether that would be an important enough feature to lose the ability to store a library on an SD card and access and enjoy when and where I want.
At the end of the day you can't go wrong with either phone. Either phone is a winner.