The real difference isn't course vs uni, it's what kind of person you are and what you want in five years. I know people who went straight to online courses, learned fast, got a job, and are making good money, but I also know others who got lost without structure and without a network of contacts that could open doors for them. Uni gives you something you don't see: a network, time to explore whether programming is really your thing, and a degree that in some places still carries weight. An online course is cheaper and faster, but it requires brutal self-discipline and that you yourself search for job opportunities.
What nobody's going to tell you is that you can combine them. There are people studying a related degree (not necessarily computer science, sometimes systems or engineering) and at the same time taking online courses to add specific skills that uni doesn't cover. That gives you the best of both worlds. If your parents can afford to support you through uni and you're up for it, at least give it two semesters to see how it goes. If you change your mind after that, you can always drop out and throw yourself into online courses with a clearer head about what you want to learn.