Here are many users complaining about the 5s battery life:
https://forums.macrumors.com/threads/1644553/
https://forums.macrumors.com/threads/1665107/
I googled for specs on charging times, but I didn't find anything so I don't know if there is an official spec for charging times for either phone. I've never noticed my G2 taking longer to charge in particular over any other phone I've owned, but I've never timed it versus a 5s. It's never an issue though because you need to charge your iphone during the day, 2-3 times a day according to you, in contrast I can do almost anything on mine and NOT have to charge it at all, not 2-3 times, not even once. So the time your 5s spends on the charger is time that I'm actually using mine, which means I get MUCH more time on my G2.
I still think the size of the battery is a silly argument. Yes you are right from the technical specifications, but who cares? Your phone still lasts x hours, my phone still lasts x hours. You talk on your phone for 10 hours, then have to fully charge it again, then talk another 10 hours, then fully charge it again, then 3.5 hours, then almost half charge it. I talk on my phone 23.5 hours without charging it until the end.
EDIT: Just found charging time for the G2 is 2.6 hours:
http://www.anandtech.com/show/7251/lg-g2-and-msm8974-snapdragon-800-a-quick-look/3
Does anyone have a link to ip5s charging times?
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I think this is a pretty typical scenario for iphone users, it was EXACTLY my scenario when I used to use an iphone 5 as well.
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Really? Lol....