The oligarchs have been working to detroy the middle class for a long time now (see the Norman Dodd interview or The Leipzig Connection), and education is a key piece of that work, because it truly can be a great equalizer. You will notice not just different curriculum, but entirely different methods being used at a posh place for the elite like Eton, vs a (US) public school or even most upper middle class private sc…
Why would they? The middle class is made of doctors, engineers, artists, craftsmen, chefs,... If you are rich and powerful, you want doctors to care for you when you are sick, engineers to design your private jet, artists to entertain you, craftsmen to build your mansion, chefs to prepare you the best meals,... Mindless slaves had some value in the pre-industrial times, but now, we have machines that do the work of thousands of slaves, cheaper and better. The rich want people to serve them, sure, but they want them smart and productive. And people don't become smart and productive when they are struggling with life.
Just look at the rich and powerful during the pandemic, they got hit like the rest of us. Better treatment, and they quarantined in paradise islands, but they still died and had to do all the social distancing stuff. And guess who saved their ass, yep, middle class, and they know it, they are not stupid.
There is no class war, no conspiracy. In fact, if there is war, it is between the member of each class. It is a tragedy of the commons situation, where the common here is the workforce.