I'm not sure Eton is really applicable here, since the income of your parents matters a whole lot more than the application process (and Eton suffer for it in the league tables) — and whilst you may argue that Ivy League schools do just that, I doubt it's quite to the same extent.
Similarly, there's the perception that Eton is capable of producing well-educated idiots.
Understand me here - this isn't my view. Just saying it's a view that's out there.