I think it was being more spoiled....she was the one who publically talked about her wealth the most. Natalie probably did not care. She after all was going to be a writer, which yes I understand is hit or miss re people themselves being wealthy. Ditto for Tootie and acting. Meanning they were going to live off of family resources until they themselves independently made it.
Jo looses her scholarship--and Blair specifically was the one with the family foundation to come through. Tootie and Natalie have money for themselves to stay in school and feel bad for her they do not tease her at all but cannot pay for their friend. They can only stay in school themselves.
So yes Blair is filthy rich while Natalie and Tootie are just comfortable.