Kids of that age are usually wise enough to understand probability, the relative importance of money, and where their family’s relative position is in the financial sense.
With a solid grip on those parameters, I’d say that most well-adjusted teenagers are reasonably equipped to make that decision on their own. If you feel like they’re still making the “wrong” decision, I’d personally apply anecdotes and statistics to add emphasis to the parameters you feel they’re undervaluing.
Reflecting on my own situation, having recently come through the higher education system miraculously in-tact, the biggest issues I’ve observed are:
(1) most teenagers don’t know the financial situation of their parents (very few did when I was in High School, anyway). Their parents could be bona fide millionaires, but they make choices ignorant of that fact. Or, their parents could be penniless, and they don’t apply to schools that give needs-based full rides, because they think they can’t afford it.
(2) most teenagers do not have an appreciation for how quality of life varies substantially with seemingly small variations (say, 60k vs 90k living in NYC) in salary. This makes the “worst case” of having a minimum wage job seem not too bad.
(3) most teenagers don’t understand the “life impact” and psychological burden of having a mortgage-sized loan at 22: how much of a new grad paycheck is “left” after taxes, rent, loans; how the size of the loan correlates to the amount you take out of your paycheck; how much the loan costs over it’s lifetime; and how much this all impacts your decision to buy a house, start a business, marry, etc. This obviously impacts you terribly when your college adventure is unsuccessful, but it is a burden you’ll bear regardless of your success.
I feel similar to the author of this article, that it’s the responsibility of the parent to not sugar coat those issues with aphorisms like “just follow your dreams” or “the issue of money always solves itself”. It might feel embarrassing to tell your children your situation in life, but it’s a big life decision and it ought to be an informed one.