Nope incorrect again. He'll always be the Winter Soldier based on his past actions, he can't run from that. Bucky's whole arc of the show is that you can't run from your past but you can heal and try to find atonement and redemption. Which is the whole reason why at the end of the show he went to Nakajima to tell him that he killed his son as the Winter Solider, to atone for his sins as the Winter Solider. He knows it'll always be part of him. So the title is still very correct, especially about Captain America.