Well, seriously, we did have that with Hawke. Our protagonist rose to power and became a champion. My female Hawke was referred to as a nobody without influence. She didn't receive any special treatment until after she became a champion. Granted her mother was of nobility, but she had forfeited that when she married a commoner, in which my female Hawke was actually a commoner via her father. Now, if her father was nobility, she would have been a noble and thus referred to and treated as such.
As for the human protagonist being a noble in Dragon Age: Inquisition, there could be an underlying reason for it. Even though, she might be a noble, we don't know her backstory yet. Let's us just have faith in the writing team. We could be dazzled by what the team has in store for us in Dragon Age: Inquisition.