but I believe every child is somehow burdened by their parents. Once the child grows up, they invariably judge their parents and they carry that judgment with them.

It is not achievable to leave them completely unburdened perhaps but, it is possible to aim for it. It means working on oneself though.

Self-reliance is a great thing and something everyone should learn (and not enough do), but it's also something that has pitfalls, like a craving of affection, loneliness, whatever else.

If there is the craving, is there self-reliance?

PS: Your daughter is such a cutie <3

She definitely is that at least.