It is true but only for the most part. My family income was below 60K, but my aid packages varied wildly among supposed peer institutions.

Harvard was the most generous, fully funded tuition + room/board + clothing stipend (presumably to keep up with the lifestyles of what would have been my wealthier classmates) + transportation stipend to fly back home for holidays.

All of the other Ivies (Columbia, Cornell, Penn) had roughly the same deal - full tuition and room/board

Hopkins - I required that I borrow 15k over 4 years to attend. Interestingly, this is the school I ended up going to.