I think they'll find that the gravy train of Big Daddy's coattails will run dry a lot sooner than they think.
Children from wealthy families frequently grow up to be feckless bums. I know people like that. I believe it was Andrew Carnegie who said "From shirtsleeves to shirtsleeves in three generations" -- the first generation would make the money, the second would blow it, and the third would have to go back to work.