I don’t know whether you’re familiar with the Myer-Briggs Type Indicator or not. It’s a tool for assessing personal preferences, classifying people into certain personality types along four axes: introversion-extraversion (expression), sensing-intuition (perception), thinking-feeling (decision-making), and judging-perception (judgment). The MBTI classifies people along these four dichotomies into sixteen different types, i.e. ESTJ (extraversion, sensing, thinking, judging) and its opposite, INFP (introversion, intuition, feeling, perception).
The stereotypical engineer “type” is INTP (introversion, intuition, thinking, perceiving). After all of this exposition, here’s the point of this post: that’s also the characteristic type of musicians.
The university that I attended was divided into different schools: Arts & Sciences, Technology (engineering), Music, Speech, Journalism, and Business. Transfer between schools wasn’t particularly common but the most common transfer by and order of magnitude was between Technology and Music. The various performing ensembles like the university symphony, the wind ensemble, and the jazz ensemble, were composed primarily of students from those two schools.
Consequently, if you despise engineers but venerate musicians, you might want to reconsider your assumptions. They’re the same people.