Would you please be able to elaborate?
When comparing protagonists, I would say Hawke comes across as the most "Americanized" of any of them. The US is all about the "everyman" hero (hello, Captain America?), and that seems to be Hawke to a "T." Hawke isn't given some noble calling, like the Warden. And he/she isn't out to save the world, like the IQ. In fact, you can even play Hawke as a downright anti-hero...that's very American.
Well, if you look at British and American characters, while both can strive for wealth, fame and power, the difference is that overall, the American characters tend to suffer less pitfalls along the way, are overall more successful in all of their endeavours (however unrealistic they might be) and tend to end the story at a place where they are happier and more prosperous than when they started.
British characters meanwhile tend to have a lot of trouble getting to these goals (which tend to be markedly more low-key), suffer a lot of setbacks along the way that put them in dire straits and while they can end up happier and more prosperous than when they started, it tends to end in a much more bittersweet manner, with something perhaps lost along the way.
The everyman in the US is a lot more positive and successful, whereas the everyman in the UK tends to be life's perennial loser. If the everyman for you is Captain America, who becomes an supersoldier and awesome hero, then compare that to our everyman like say... Arthur Dent, who lost his home, planet, entire species and had all of that happen to him in his dressing gown.
Sure, Hawke can succeed in becoming Viscount at the end of DA2, but we see in Inquisition that they were rapidly foisted from power and forced to flee Kirkwall, while if you sided with the Mages, you basically lose your wealth and home entirely at the end of the game.
Meanwhile, the Inquisitor remains the leader of the Inquisition, a powerful NGO in it's own right, while the Warden (if alive) becomes Warden Commander for the next ten years, as well as potentially the King or Queen of Ferelden.
All of that to me, puts Hawke far more into the UK archetype of an everyman protagonist, more than the American one.
Even their potential deaths show this trend. The Warden can potentially sacrifice their life to save the entire world from the Archdemon, whereas Hawke's potential sacrifice, while noble, comes across as far less grander in scope and is not even down to them, but rather boils down to whoever the Inquisitor wants to keep alive.