As a first step, let me just enumerate some hypotheses inconsistent with yours to see if they stick: (all intended to explain why higher-status people seem smarter)
The large majority of these proposals simply don't stick, at least for definitions of "higher status" along the lines of 99.9th percentile rather than 99th percentile. Many of the same proposals are very plausible when talking about the 90th percentile rather than the 50th percentile.
Sadly, we don't have grammar rules which encourage us to inconspicuously quantify values in English. Could be useful in a constructed language.
Michael Vassar once suggested: "Status makes people effectively stupid, as it makes it harder for them to update their public positions without feeling that they are losing face."
To the extent that status does, in fact, make people stupid, this is a rather important phenomenon for a society like ours in which practically all decisions and beliefs pass through the hands of very-high-status individuals (a high "cognitive Gini coefficient").
Does status actually make people stupid? It's hard to say because I haven't tracked many careers over time. I do have a definite and strong impression, with respect to many high-status individuals, that it would have been a lot easier to have an intelligent conversation with them, if I'd approached them before they made it big. But where does that impression come from, since I haven't actually tracked them over time? (Fundamental question of rationality: What do you think you know and how do you think you know it?) My best guess for why my brain seems to believe this: I know it's possible to have intelligent conversations with smart grad students, and I get the strong impression that high-status people used to be those grad students, but now it's much harder to have intelligent conversations with them than with smart grad students.
Hypotheses:
Did I miss anything important?
Having achieved some small degree of status in certain very limited circles, here's what I do to try to avoid the status-makes-you-stupid effect: