Status is probably the wrong term to use for this (it can mean multiple things). The form of status given to intellectual accomplishment (or potential) is much more idealized than the form of status given to people whose parents were rich.

A person with lots of money has raw power and hence "dominance" type of status, but there is what could be called "prestige" from being known as a genius. Genius (including mental traits like charisma and skills like acting, music, arts, etc) is more often seen as in the category of earned traits like hard work. At least, that is my impression of the general consensus. Haven't tried to verify with in depth research or statistics, so beware the usual bubble effects etc. It could be US specific or subculture specific -- class means something different in India or the UK, for example.

Consider that the role of a trust fund kid (without being given additional information about the person apart from that description) is to spend money, whereas that of a genius is to contribute in unique ways (in fact, they are expected to to so in order to gain money).