Agreed. A university is a place for learning how to ask questions, and it runs on curiosity. Starting a company is just a means. When there is something you are curious about, or a problem you want solved, a startup is one of the ways to go after it.
I went to university in Korea and I'm on my third startup. I watched startup clubs, government grant programs, and university-run programs all operate with the stated goal of encouraging entrepreneurship. The means became the end: the optimal strategy turned into presenting whatever scores well with the review panel. People took the money and technically started companies, but without underlying curiosity they couldn't carry it for long.
Teaching people how to build things, and the experience of actually making something from nothing, is special. But I also saw students who had no idea such possibilities existed, unknown unknowns, get gripped by the idea that they had to make something, and end up building only software, and within software, only dating apps.