When you have that much money (atleast they say they do), it doesn't matter to them. They look for the biggest name and the one that has the most bougie kids going to it and just enroll them. They know well enough that if they send their kids to a rich enough school people will notice and realise how rich and classy they are.
Also J did mention before that Andrea and Prince Harry's son were born around the same time and how cool would it be if they went to school together or something
Pretty sure he hopes Emilia marries rich so he can move into the estate and live comfortably till she puts him in a home.