That's not a feature of capitalism though, and pretty much exists regardless of system.

If heirs get money by virtue of birth and not value provision under most any system, and capitalism is among them, then capitalism isn’t a system which distributes money purely by value production.

One of the motivations that a lot of people have for working really hard is so that their children don't also have to work just as hard.

That anyone is floating the idea that "a better future for our children" is a bad thing is mentally deranged.

"A better future for some rich person's children" is not the same as "a better future for our children"

Yes it is.

Only if you lucked out in the capitalist casino.

So in your ideal scenario, rich people lose the privilege of being able to provide opportunities for their children? Purely because they are rich?

Even if you can walk it back from the edge of that cliff by saying they should have to provide for everyones' children, they can only do that by being rich...

Typical Germans and their heritage purity tests.