I have noticed a lot more status/hierarchy jostling from immigrants who come from certain cultures. But I don't see that in their children who tend to have a much more western view of status/hierarchy.
When immigrants are heading towards 20% of the population, that first generation effect is significant. And don’t assume it disappears in subsequent generations. It’s hard as an outsider to tell, because you’re not privy to people’s thoughts or private communications.
The second generation Asian Americans I know aren’t quite as hierarchy-focused as say my parents. But they’re also nothing like my wife’s Oregonian family that’s been in the US for hundreds of years. (Among whom having status is almost something to be embarrassed about.)