I think it’s a good question, but I kinda doubt the coach will answer with complete honestly. I’d ask, but if it were me, then I’d definitely ask my kid the question, “If the coach left, would you still want to be there at Xyz college.”
Amherst is a pretty good gig for a college b-ball coach. I wouldn’t accept just any job at a big D1 school, if I’m already at Amherst. Sure, a big D1 job would be great, and more potentially more money and TV exposure, but there are a lot of D1 schools that I’d take a pass on too. 