I would say choice has a big part to play, after all if you don't choose the main quest, then nothing much happens, the world doesn't move forward. Only by choosing to act does the player become the Hero.
On a side note in my personal version of the saga the reason the hero is never named is because of a herditary curse. At the start of Arena, Ria Silmane says she has managed to hide the players identity, so I figured that since she's dead she can't undo the spell and my hero has to take on temporary aliases because his true name is hidden, and this is passed on to his son and grandson (Morrowind and Oblivion respectively).
On a side note in my personal version of the saga the reason the hero is never named is because of a herditary curse. At the start of Arena, Ria Silmane says she has managed to hide the players identity, so I figured that since she's dead she can't undo the spell and my hero has to take on temporary aliases because his true name is hidden, and this is passed on to his son and grandson (Morrowind and Oblivion respectively).
An immortal, amnesiac hero - I'm sure Michael Moorcock would approve - and Steven Erikson too.