That hasn't been my experience. Students at top CS schools have much more access to recruiters at well known companies, who assign recruiters to particular schools. It's a lot harder to get an internship at such a company from a school without an assigned recruiter. Good CS schools also help students to get internships earlier in college, after freshman year.

I asked a professor in charge of admissions for a graduate program about their desired gpa. His response- 'What school did you go to?'.

Students at good schools don't have some innate willpower to push themselves harder- they have better opportunities available to them. That isn't to say that students at other colleges don't do just as well, it's just takes more effort.