As a hiring manager, I don't agree with this. Frankly, although I always look for a person's education history, the only time this actually matters is if it allows me to make small talk with them during introductions.

Additionally, a person with a hard science BS from a small college may well have received a far superior education than someone graduating from a top tier university in the same discipline. It makes a huge difference for many students how engaged their professors are in teaching, vs research.