There's kind of a reason for this. If you're going to spend hundreds of millions of dollars promoting a specific academic agenda, one even more focused on the standardized testing that parents, students, and teachers alike tend to loath, and geared towards preparing kids for jobs rather than educating them (look at English in common core where now 70% of what students are supposed to read is not classic literature, plays, poetry, contemporary fiction, but newspaper articles and speeches and the like), he should at least educate his own kids in that way. Instead he seems to defy his own investment by sending his children to a school that emphasies no testing, a big focus on the classics and letting kids do their own thing and become well rounded.
As a student of history this sort of line of thinking looks interesting, though I wouldn't want to replace our entire history curriculum with it. Perhaps as an elective, though at this point Bill attempting to touch education is just asking for trouble...