Are kids still “expected” to be as or more successful than their parents?

D1 is already doing much better than me financially at her age and she also has a husband who is also doing well, so with their combined income they are doing better than me.
I assume D2 will do fine if she should go work at a big law when she graduates.
Yes, my father expected us to do better than him and I would expect my kids to do better than me, both emotionally and financially.