As someone who went both to an average university and one ranked 3rd in the country, I can tell you: The name doesn't mean much in the engineering discipline. Certainly, a CS degree from CMU will likely get you into more interviews, and they probably earn more in the long run, but the person who got his BS in CS from an average state school with a good GPA will almost certainly get a job within a year. Very few exceptions. With bootcamps, I expect that percentage is a lot lower.

As a data point, I work in a top tech company and while people from big name schools are slightly overrepresented, the majority of folks are not from big name schools. Certainly plenty of people from my average state school here have senior positions.