Elias is....a loaded choice. First, he's a huge dox magnet, which is noted in his writeup. That can be a big liability, especially in someone you want in charge of things. He probably has the permadox of Jane and Kessler combined, which means any dox he takes, he makes a roll, which can be very, very bad. He also has the issue of him probably having hidden motives for joining, and the possibility he may want to usurp leadership from Jane.
He is also tied to the "whatever it takes" school of thought the old Union tended to follow, which doesn't really gel with the new, more moderate path the post-DA Union is taking, and could complicate Camlann's relationship with both other more moderate factions within the Union should his methods be taken up. We've pretty consistently shied away from hardline elements, and there are few elements more hardline than a man like Elias. In less visible roles, he can act in his usual manner without too many issues, but leading in a major task force? That's not the same story. Maybe he could become someone else with time, but I doubt it. Maybe he could go back, to someone more like the man who joined the Order of Reason, centuries ago. I don't think that man would recognize Elias now. I suspect he understands that he can't go back to who he was either. That man, long ago, would likely have been someone I would have voted for. Elias isn't that though. He is a tool, formed by Control over long years, and now he has rejected those who made him, because they are no longer who they once were. Elias represents a force of stasis, something dictated by it's past, as we wage war on the other results of that past. He represents something, and it's not something we should carry into the future in the forefront. He may well persevere of his own accord, he has since the DA, but I see him as something the world is leaving behind.
In essence, he would bring great rewards indeed, but with them would come issues, both small and large, practical and symbolic, that would taint what he offers to an unacceptable degree. We will not pick up Control's weapon, we will reject the need for it. Jane was once a weapon, and rejected that path, to become the woman she is. Elias is as much a weapon as she was, but he made his choices long ago, when Jane had her's made for her.