Annabeth Jackson - Tumblr Posts

I know a lot of people say that they believe that Percy took Annabeth's last name (-> Percy Chase), but I think Annabeth would gladly take Percy's last name (-> Annabeth Jackson).

Nothing against the girlboss many associate with this, but Annabeth is not really close to her Dad of paternal half-brothers (or anyone of this family side besides Magnus). Meanwhile the Jackson-Family, Sally and Percy, are a home for her, they are her real family she chose and why wouldn't she want to take the surname from this family side?