I think that there is a general divide on this issue.
Some people like the fact that PCs are defined by the adventures that they have been on; the "zero to hero" journey is not something foreordained, per se, but is something that occurs as a result of the choices of the player along the way. In other words, the PC is just like everyone else, except that they have chosen to do extraordinary things.
On the other hand, other people view PCs as being special because they are PCs. They are the heroes of a narrative- and saying that they aren't special makes no more sense than saying, "I don't get why that Spiderman comic has to have so much Spiderman in it." By definition, the PCs, as protagonists of the game, are the heroes, and therefore special.
IMO, while I subscribe to the first view, I believe that the second view is actually more popular with most people.