I also challenge @rjkofnovi - there are many things that go into a company extending a job offer to a student fresh out of UG engineering program. If the program is ABET accredited - that is a key factor.
If a student has work history, varied jobs with good references, interned or co-op in industry - those are helpful. Sometimes a particular project or class is helpful - working in radar, or other specialized areas. H had test engineering project and was hired into test engineering for major firm with his EE degree.
DD worked for a top 10 ‘best places to work’ civil eng firm already, and is now going to intern with a very large construction firm (international) - they were very selective on their interns.
The cream rises to the top. The cream is spread all over in various schools across the country.
And companies may pay differently for COL for where the job will be, but they won’t pay more based on what tuition costs at a particular school.