Show me an instance of something allegedly intellectualist rejecting empiricism. The scientific process involves empirical evidence so I suspect most would consider someone rejecting it no longer being intellectual.The sweet irony here is that your understanding of this is an oversimplified and wrong explanation of the world. The virtue of understanding and education depends on the source of information, and intellectualism refers to the practice of seeking truth through thought, potentially at the expense of personal or empirical experience. It is not a mark of curiosity for the intellectualist to spend their time trying to think through problems in an ivory tower.
On the other hand, Trump became president without any prior public office experience, a position that involves regulating how all public administration should operate.A recent (admittedly super biased) analysis of the Biden administrations top officials found the median time spent in the business sector was 0 years. More than half of the people at the top of the current administration have spent their entire adult lives working in education or government. Their experience over the things they are regulating is entirely theory, with no personal connection at all. There is a word for things that are solely the product of the human mind, that word is fiction.
What I'm saying is that no matter whom is in charge of your country there will be blindspots in their experience which ideally they ought to cover, and taking in information not derived through their personal experience then become a necessity.