@BzzBzz I would suspect that the anime would follow the LN as that has happened to other anime that was based on LN/WN sources as WN seems to be more of a first draw of the story mostly what i have read and LN is the final product where the author has done some changes that he/she didnt like or...
@FgoSegul I think the princess isnt gonna start rebellion but she wants to get in contact with the MCs money pockets...as i recall one chapter she wanted to get into his wallet instead of trying to keep funding her father and brothers "crusade"