Fair enough. We had the first game where we were a Grey Warden, the second the Champion of a City State and the latest the leader of a multinational organization. What would we be? A mercenary company, a cult, a secret society? Operating on our own does give us freedom, but how do we fight against corrupt Tevinter Magisters, a Qunari invasion and an army or radical elves led by a demigod? We'll need help and support. The remnants of the Inquisition will probably help us, the Grey Wardens are in the midst of either civil war or a new blight, the Orlesian Chantry wouldn't dare help the Imperial Chantry. I've never doubted the powerful of individual groups and individuals but if we have the choice to join groups and gain contacts,resources and information or remain free and maintain our autonomy will be a welcome change.
What would we be... a group of highly skilled, highly motivated individuals working for our own goals and purposes with our own methods.
To an extend I want to get back to basics with Origins; sure, we were Grey Wardens, but that didn't really mean much. Got our foot in the door, and it meant that the archdemon stayed dead when we put sword to it. Outside of that, we were just the leader of a group of skilled people gathered together for a purpose.
I want to get back to that, with some changes; Let's have to work a little harder to get our foot in the door instead of just having to say "Grey Warden". And instead of our purpose being as clear and defined as "end the blight, save the world", it's a little more complicated and, to some extent, up to us in regards to how we shake up the power base in Northern Thedas.
Now, I don't have a problem with making contacts in or alliances with certain organizations, even having the option to join them outright. But I don't want to be forced into any organization again where I'm weighted down by that organization's values as a form of railroading. Give me a situation where we're the ones using the various factions for our own ends, not the other way around. Were we have to juggle our alliances to maximize the benefits we get out of them.
One of the key points in Solas' story was that large organizations always build up corruption as they go on; it becomes more about keeping the organization going than accomplishing the goal they were founded for. Playing off that, it's thematically appropriate that we specifically and intentionally avoid that pitfall by operating not as an organization, but as a collection of individuals.