Pretty wanky in this day and age but if she wanted to do it for the appearance fee and she is of age then not much her father could do about it.
and she is not particularly from nouveau riche background, Blythe Danner grew up very privileged on the east coast, and then as an actress n her own right. Not sure about Bruce Paltrow but he did very well as a producer/director.
and Apple’s have had their own great career successes (regardless of what you think of her acting, goop, or his music).
So, nepo baby she may be and, arguably, tacky but no way nouveau riche.