> Do colleges exist to promote education and intellectual curiosity or to train workers?
I don't really think the teaching part at most universities oriented toward training workers. If they were oriented toward training workers, then the administration would be worried about what skills are in demand by employers...probably training students on particular software, computer languages, jargon and techniques that are common. There would be more emphasis on getting various certifications while still in undergrad. I can't speak to promoting "intellectual curiosity" because it seems hard to define and if you did I bet it would depend mainly on the nature of the student...probably his/her genes, peer group and childhood role models...not on the actions of someone the student sees three hours per week during adulthood.
As it is, a professor can (very often, though not always) be totally incomprehensible and irrelevant to work, as long as they are not offensive, without any repercussions nor even any gentle communication that he/she explain things clearly. Humans tend to craft stories favorable to themselves, so even if the student evaluations are negative, the professor can just blame e.g., short attention spans in the era of marijuana and fortnite...or the professor just might not look at the student evaluations if they don't want to. Over time, some professors even develop a sort of perverse joy at confusing students...their confusion being the sign that the professor is very smart and that he is "challenging" them, when in all likelihood he is just asking them things he never explained clearly in the first place. In my undergrad, an EE professor bragged that the class average was a 23%; he also used his TA as a translator because he could not speak english.
It is expected most everywhere that students will learn work skills on the job and in internships...not at school. Professors at research universities spend all their time thinking about hard frontiers of a topic, and that frontier might have little to do with what you do on the job.