As a huge Uncharted fan, my first thought (and most likely the one of many, many others) playing those games was "imagine an Indiana Jones game like this". But then again, for Indy you would at least have to get rid of all the shooting, because that's not Indiana Jones. He's more like the guy with an empty revolver. And when losing long-range combat like that, it only makes sense to lose the long-range perspective as well. Close combat warrants a close-up perspective, so the first-person view is indeed a better fit.
Granted, I wouldn't have minded a third-person game at all, but then again, Uncharted did it so well (the controls, the procedural animations, character detail), it would have been disappointing to see a franchise that's so dear to my heart (Indy, in this case) not reaching the same heights.