I think that's true for White and Asian folks.
But the thing about America is that it has two, giant categories of people in a 'different lane' - notably those in poor Black urban neighbourhoods, and new Latino migrants particularly in Texas/Cali where they are highly segregated from the rest of society.
'Technically' you might argue they have that opportunity, but it's not really the case if they live in a situation wherein that reality has never dawned upon them, and their entire life context is skewed towards something else.
My distant cousin married a Latino man, their daughter was 17 and was making 'big money' helping her mother at the cleaning service. And by 'big money' I mean 'some money' for a kind of poor family, a 17 year old with any cash at all was living large. She had absolutely zero concept or aspiration of going to college, nobody she knew did that and was really keen on working, because it made her money and wasn't even keen on finishing high school.
The 'cultural gaps' between these communities are gigantic, it's like being in a different country.
America probably is 'technically the most open' but pragmatically, it's not the case.