Because in America, Ivy versus non-Ivy isn't the distinction.

What matters is your major and whether it is a well respected program.

A CS@Texas student will have the ability to open the exact same doors professionally and prestige wise as a CS@Brown student.

You have Ivies, Ivy Tier Privates (Stanford, Chicago, Duke, USC, Caltech, MIT, NYU, Northwestern, Georgetown, CMU), and Public Ivies (Cal, UCLA, UCSD, Mich, UIUC, UW, UT, GT, Purdue, UNC Chapel Hill, UVA) that all recruit the same kind of applicant and place in the same careers and employers.