This is not in my experience. Typically, the CS job interview can be very penetrating. The degree lays down the basics and makes sure you can produce structured code which can be maintained by someone else, and that you have the thought process to logically lay down the path to the desired outcome. Beyond that, I do not know of any employer who hires only from a top school.
Math or engineering: though I do hear what @TopTier says, and I agree that the foundational liberal arts education is very valuable, I worry how easy it is to top out at a LAC- though the cross registration available at these schools makes it less of a worry. For example, a place like Reed- what do you do when/if you run out of classes?