I currently have the sgs 3 my wife has the Drinc 4g , obviously you know screen size is a huge difference. And with one of your gs3 gripes when you click on the phone to make a call all you need to do is swipe your finger left to right over the contact and it will call. You do the same thing but swipe to the left and it opens up a text message, seems pretty simple to me.
Anyways I find the Drinc just slightly less responsive in general movement on the phone, I will say though her phone generally has a stronger 4g signal then my phone it's only a few dBm but still. I can't comment on battery life.