If a hero’s motivation is not selfless, is he still a hero?

If a hero's motivation is not selfless, then he isn't a hero. Regardless of whether a character follows the paths of the hero's journey, he still must have the necessary characteristics of a hero. He must be brave, strong in both will and mind, and he has to be loyal. First and foremost, the character must have the qualities of a hero, because without them, he is on the same level as the crowd of everyday people.