Ikr! I love this! It makes sense. I'm so thankful I don't have to use up brain cells to understand! Cuz I just got back from watching all episodes of 15 animes
Shogun is a title, before Ei created the puppet she was the only shogun after makoto death. And Ei and the puppet share the same body, so calling Ei the raiden shogun isn’t wrong either. The puppet isn’t really the daughter of Ei, yes she made her; but unlike scara the puppet never thought of Ei as her mother.