@Bobby96 At least from my personal experience that was not the case.
I kept every piece of college mail that I received since the first one sent to me after my 9th grade PSAT. The first was from Vanderbilt, BTW.
In total, I received 490 pieces of physical mail and 3610 emails from 112 schools (as of March 25th). I received the most contacts (mail and email combined) from Sait Mary’s College (130) and the least, 1 each, from Earlham, Neumont, and Point Loma.
Of the schools that I applied (18), I received 134 mailings and 575 emails. Those schools were Stanford, Princeton, Harvard, Yale, Penn, Dartmouth, Cornell, Williams, Columbia, UChicago, Amherst, Swarthmore, Rice, Vanderbilt, Northwestern, Carnegie Mellon, Smith, and Case Western. Of those, Stanford sent the least (3). In fact, the next on the list was Princeton at 14. Schools like Harvard (33), Dartmouth (42), Columbia(54), and Cornell (43) sent exponentially more.
To make matters worse, the 2 emails I received from Stanford were simply responses to me signing up for their local information session. Thus, in reality, I only received 1 unsolicited contact from Stanford. Because of the virtual blackout of contact from Stanford, I thought that I had NO shot at an acceptance. Somehow, someway, I got lucky and was accepted!!!
Like most people from California, Stanford is the DREAM, but it is considered so unattainable (especially for Californians) that I never really considered it. Don’t get me wrong, I worked very hard on the application, but I chose Princeton EA because I thought my Stanford chances were zero either way. Had I known there was even a sliver of hope, I would have applied to Stanford EA. The lack of mail from them was a huge factor in my thinking, so I wish they would have bombarded me, it MIGHT have saved me months of anxiety.
For the record:
Accepted: Stanford, Cornell, Carnegie Mellon, Williams, Smith, and Case Western.
Waitlisted: Harvard, Dartmouth, Columbia, UChicago, Amherst, Rice, and Vanderbilt.
Rejected: Yale, Princeton (Deferred EA), Penn, Swarthmore, and Northwestern.