> Employers don’t care where you went to school.
This depends on the employer. Google is notorious for not only caring about your school, but your GPA. Also as someone who has looked at hundreds, if not thousands, of resumes over the years - the reality is you very quickly start to look for any sort of signal and schools are definitely something some (I would guess most) consider.
Do I think it's unfair? Sure. But recruiters simply do not have the time to look into every applicant with any sort of detail.