Yeah, the idea that "Nathan Drake" is in the consciousness of videogamers, that he is representative of any kind of zeitgeist is showing standard Naughty Dog hubris. I'd say Jak & Daxter have more legitimate claim to that, after three entries in a platform series, and a subsequent kart racer to cap it off.
There are characters which were iconic after only one entry in a series. Master Chief was recognizable from the first game. Parappa the Rapper... um. Pac Man...?