For Adam at least, he had no intention currently at claiming a title. It seemed wrong somehow, considering he has literally just set foot in the Domain and was finding his way around. Certainly, he considered himself capable - but sometimes it was necessary to prove oneself first, to walk before running so to speak.
He was more than pleased to teach Soldier Rodriguez and Madam Hazelton, and would prove himself greatly from there on in. Deeds, he believed, not words were the making of a man; even with Tradition.
"I have no business I wish to raise. I am simply grateful to meet the other members of the Invictus, and be welcomed so warmly, Alder Prince Clarke." He bowed his head in respect.