Le Rosey vs Auf Dem Rosenberg

What makes each one different from another? Rosenberg keeps their alumni list very private, but from the ones disclosed so far, it seems like they’re mostly billionaires in businesses. Le Rosey definitely has those businessmen too but some include royalties. Is it because Le Rosey is French-based?
Please don’t tackle on anything personal. I have my reasons for asking this, and my family is not concerned about the tuition fees. I’m just not familiar with Switzerland, and I would appreciate some knowledge in these schools only. Please do not recommend any other countries since I am very well aware of the U.S. and UK as well.