I have a 4G SGS3 currently running CM12 (LOLLIPOP). I often regret not getting the LG G3 32gb during the eBay 20% off thing a month ago because on paper its way more powerful, had a higher resolution screen etc.
I'm not sure what the real question is here but I don't game on my phone, but I do use it all the time, and I consider myself a power user.
Try and talk me out of upgrading or alternativly, try and make me feel worse about not getting the G3 when I had the chance :D
It all comes down to what you use the phone for… if you don't game, do you go on youtube/ browse the web often? if so, a newer phone with a larger screen would benefit you.
However, if you don't do any of those things then just keep your GS3 no point in investing in a new phone when they just get cheaper by the day. I have a Z3 stock and a GS3 with CM11, there doesn't seem to be much difference between the two phones except for the screen size and battery life. My GS3 still games just as good as my Z3 in the games.