Instead of rationalising, try researching. Ivy League universities, for example, almost uniformly use "need-blind admission". Meaning they admit you first, and the decision comes with a promise to find a way to make it affordable for you to attend given your circumstances.

As a datapoint, "Fifty-five percent of Harvard College students receive need-based scholarship aid, and the average grant this year is more than $53,000." (https://www.google.com/search?client=safari&rls=en&q=harvard...)