Only if you simplistically ignore that social status and wealth are also heritable and make it much easier to make money regardless of intelligence.
Unless, of course, intelligence is "bad" for the wealthy and "good" for the poor, but I doubt that's the case...
But intelligence without wealth can easily be beaten by average intelligence plus wealth and status. E.g. Trump
'Inheritance' doesn't have to mean just what was passed down at death - it must also include all the additional resources available during development to have any meaning.
But if you are saying that education makes little difference to lifetime earnings, you're going to have to back that up with a reference because it's an extraordinary claim.