The Herald of Andraste isn't the Inquisitor because they have the Anchor, and the Warden definitely isn't the Hero of Ferelden because they have the Taint. And while Hawke may be Champion for their combat prowess, again, it's not required, it doesn't mean anything unless their feats compare. They do not.
We got a man on a mission here it seems.
Traveylan > Anchor > Herald > Inquisitor , if he didnt have the Anchor people wouldnt view him as the Herald if you disagree with that please do not reply to me as i have no interest in arguing for the sake of it , his ability to close the rifts ( and his survival in the fade which is also thanx to the Anchor , no Anchor = Dead herald at the conclave) is the only reason why people regard him as being touched by a divine force namely Andraste, said deeds are what led him to become the Inquisitor in the end.
Perhaps he could have become the Herald without the Anchor the odds of that happening however is lower than me becoming the president of the USA and having 3 supermodel as my concubines.
Cousland > Taint > Grey Warden > Hero of Fereldan i dont need to really say much here , only Wardens can slay Archdemons. That has been established .
Thats not to say that these two arent great warriors , they are but they got a ..............lets say a boost for a lack of better word , in order to achieve what they have.
Hawke is no special snowflake like the former two , he is just your regular dude that happens to know his way around the battlefield which is why I personally rate him higher.
In the end its merely an opinion however so...................yea...ill go now.