It really depends where in the USA. This Harvard project tracks intergenerational mobility. I make more annually than both my parents made combined for their three peak years. https://opportunityinsights.org/ I come from one of the highly mobile counties.
The privilege I am talking about is related to the chances of access to $200k jobs.
Just being born and raised in the US means that you don't have to worry about visa issues, for example. And when I was in the US, I only managed to get my H1B through a quota-exempt employer, meaning I couldn't move around for better offers. I also lost count of how many times I received the "you have very good qualifications but unfortunately we can not sponsor visas" email.