As is often the case on these boards, we are tending towards the extremes without looking for the nuance.
I suspect that what the coach was getting at was far more subtle than "no pain, no gain" and all of those other tropes, and it isn't that he wanted his athletes to feel bad, but rather that they are focusing their energy on feeling good at regionals and nationals, and if that means training through those other races and feeling a bit tired as a result, so be it.
I work with individual athletes, not teams, so my experience is different than that of some others posting here. But in working with individual athletes, we commonly design our training for a goal race (most often a marathon or a half marathon). Everything in training is oriented toward that goal race, and performance at interim races may suffer as a result. For example, I had a woman that was training for the Chicago Marathon this year. She had several other races on her race calendar during the training cycle, including Peachtree and several local races. Our focus was on getting her a big PR and potentially an OTQ in Chicago. Everything in the training plan was oriented toward that. That meant that the week before Peachtree was one of her peak mileage weeks. We made a decision that we were not going to rearrange the training calendar to back off at all to perhaps get a better result at that race, because the focus was on Chicago. She ran an awful time for her fitness (although it was still her best time at Peachtree), and we kept moving on.
It wasn't that I wanted her to feel like crap that week, it was just that I didn't care if she was prepped and ready for that race because that race wasn't the goal for her training. Same thing with our local races - we trained through those too. But when she had a good day and ran a new 5k PR three weeks before Chicago, I wasn't at all bothered that she felt good, I was still just focused on the fact that her training was all oriented toward Chicago, where she ran a 2:30+ PR but narrowly missed her OTQ.
In fact, CoachB, I think one of your athletes probably had a similar race profile during that time, with a series of so-so races leading up to Chicago, but then crushing Chicago and getting a healthy OTQ in the process. I suspect that your attitude toward her interim races is what the Stanford coach's was trying to convey.