It's probably more likely around the hyper rational types, but my boss is the most empathetic engineer I've ever worked for. This is anecdotal but your comment seems fairly clearly overbroad
That's the deal, though. Engineers and scientists don't have a monopoly on "deep thinker™".
My sister is a "deep thinker." She has an economics degree from Princeton, and has been working at very high levels, for decades.
Very decent human being. Not sure if she'd be interested in being a "leader," though.
That's part of the problem; it's almost as if wanting the job, automatically disqualifies you.
But you are right. It's an overbroad statement.