The people that feel the need to be loud and in the public eye aren't necessarily playing 4d chess. It's really just an ego thing for them.
The wealthy who keep a low-profile are the smarter one's.
Many in these positions get there by being really good/smart/lucky at something once and then having a war chest of capital to deploy for life.
It doesn't mean they are a polymath genius with unique worthwhile insights into all facets of the human experience. In fact, it may almost be the opposite. The hyper focus and hustle required to attain what they do often requires withdrawing from the wider world, not being particularly well read, and living in a socioeconomic/political/work bubble.
edit: I don't mean just to shoot you down here--I think there's a counterargument to be made here. It might start with "those folks really are the same as us, responding and acting as we ourselves would when dropped into that environment and surroundings". That would hinge on observing the actions and behaviors of someone who, having lived a life as a billionaire, has lost or forsworn that level of fortune and whose lives we might now judge as in the range of "normal". I think that'll be hard to find; the wealthy making public pledges to give away 99% of their wealth are still ludicrously wealthy, and to my knowledge all make that commitment to do so around when they die--not before.
The ultra wealthy are very different from anyone else. First of all, their focus gets to be about power, everyone else's is survival and making the rent. Second they have armies of ass kissers. Third, they have no job and can even own politicians. And of course their wealth isolates them from repercursions anyone else would face, and puts their experience way out of phase with the regular people.
And we should also account for the sociopathic drive that made them rich in the first place (sociopaths are overrepresented in higher status positions).
While there are exceptions with people who were lucky and were at the right spot at the right time, there is a different distribution of character traits compared to society at large.
1. In 1926, F. Scott Fitzgerald wrote that the rich “are different from you and me,” and Ernest Hemingway supposedly retorted, “Yes, they have more money.”
2. Kurt Vonnegut's obituary for Joseph Heller...
True story, Word of Honor: Joseph Heller, an important and funny writer now dead, and I were at a party given by a billionaire on Shelter Island. I said, “Joe, how does it make you feel to know that our host only yesterday may have made more money than your novel ‘Catch-22’ has earned in its entire history?” And Joe said, “I’ve got something he can never have.” And I said, “What on earth could that be, Joe?” And Joe said, “The knowledge that I’ve got enough.” Not bad! Rest in peace!”
Or, as Cyndi Lauper sang it, 'Money Changes Everything'
I'm of the latter persuasion, that wealth influences one's personality in important ways.