It’s tough:
On one hand, the 4.0/1600 kid can be shut out from the T20 privates if nothing on their app jumps out and grabs the adcoms, according to what they are looking for/holes they are filling.
On the other hand, the Lehighs and Tulanes of the world may also reject them because those schools figure the superstar is going to be admitted to, and enroll at, one of the highly rejective schools. To them it is yield protection to reject the superstar.
That is why everyone should find true safeties.