I think that in discussing Larian's origin character system, it would be illustrative to compare them to the companions in Dragon Age 2. They are among the most independant companions I've come across in an rpg in the sense that their stories do not, as a whole, revolve around Hawke or what Hawke is doing. They all have their own lives in Kirkwall, and they're getting on with those lives while occasionally bringing you into them. In theory, most of them would continue doing what they're doing without Hawke's existence. Merril would still get banished from her clan, Fenris would arrive in Kirkwall after fleeing his master, Isabella would still steal the Qunari tome, Varric would still be doing his business stuff, etc. But Hawke's involvement in their stories is absolutely pivotal. Their stories fundamentally change thanks to Hawke's presence. From Varric being able to fund the deep roads expedition to Isabella potentially changing her ways and returning the tome she stole. Even if you assume Aveline could get to Ferelden on her own, it's only thanks to Hawke that she becomes a guard captain or meets the man that becomes her husband. And then there's the main story itself. Arguably, there isn't truly a driving goal to DA2. It's about the life of a refugee trying to make their way in their new home, and along the way they get caught up in things that are bigger than them. Part of the point of the story is that Hawke really is just a nobody. Just a person in the right place at the right time. Yet the story is unquestionably about Hawke, with her companions being her supporting cast, emphasis on supporting. Therefore it can be personal and strike at Hawke in ways that are specific.
Compare all that to Origin characters. By their nature, their quests need to work in such a way that they can happen without the outside influence of a main character, because they could potentially be the main character. And the main story has to be one which is at its core, impersonal, external. Because otherwise it can't work. And that's the problem I think there is with Origin characters as Larian conceives them. The only way for them to work is by diluting the story and making it something removed from the character, unable to be as personal as a story where there's one character that the story will revolve around.