Every person is an equal member of the Sonship, meaning that everyone is your brother or sister. Everyone exists on an equal playing field, and the one "parent" is God.
This means that whether you are a parent or a child, and no matter the nature of the relationship between the two, everyone involved is still a brother or sister in the Sonship.
In order for this to express itself fully, it means that all relationships must end up where everyone is equal, no-one has power over anyone else, no-one is anyone else's property, no-one is controlling towards anyone else, no-one blames anyone else, no-one depends on anyone else, no-one expects anyone else to provide for them or decide for them, and no-one is more or less than anyone else.
This is the natural order of the family of God. We are all equals and all have the same inheritance. We all have the same parent and we're all identical in our true nature.
Typical chlidhood and parenting tends to lean much more towards inequality, control, protection, dependence, blame, manipulation and ownership. Those are not modes of relationship that are natural, and are rooted in the ego thought system.
When a child is born and begins to grow, they see themselves as completely dependent on the external world and on parents to supply their every need. And indeed the ego has set up this world so that it's practically impossible for a child to exist independently without starving to death. They have apparent "needs" and need help to survive. This doesn't mean the parents need necessarily own or control or be attached to them, but that's usually what happens.
Later, the child still believes they are dependent on the parent and that it is the parent's fault that so many things are the way they are. They will blame the parent, seeing them as causal, while at the same time attempting to break away from being under their thumb. "The thumb" is usually maintained far too long because the parents tend to form an identity around their role and don't want to let it go. They want to keep having the same relationship of parent to child, ie based in ownership, protection, control and so on. This generally works against the child becoming "independent" and an equal.
Often the case is that the child never really becomes an equal to the parent and there is a constant umbrella of control, dominance, shame and guilt under which the child remains, never breaking through to the light. The parent may not want to let go of the identity they've formed and it can be extremely painful to do so, especially if the raising of children has been the intense focus of their lives for many years and has entailed a great degree of self-sacrifice, leaving a gaping hole in their lives if the role were to end.
The child also will continue to blame the parents well into adulthood, because this is all part of the child's perception that they are a victim at the effect of the external world. They cannot really be independent until they have severed ties with their own ego identity, which means uncovering the true nature of themselves, healing all past hurts resulting from the dysfunctional relationships, and becoming aware of their true relationship to God.
It is, however, possible for the child to eventually stop projecting onto the parent and for the parent to stop projecting onto the child, and for both to give up on "specialness" which has kept the relationship strangled and suffocated in layers of denial and resistance and judgement. Special relationships can turn to holy relationship when forgiveness is used to undo the illusions of the relationship, which are many.
At some point it's possible for the child to become equal with the parent, which must also entail the recognition that the parent is a "temporary guide" who was there to help with lessons and adaptation to being in the world, but who ultimately is an equal brother/sister. Both child and parent are children of God, on exactly the same footing and terms. If the relationship between them can reflect holiness and forgiveness and equality then it has "matured" all the way that it can. If this doesn't happen, the fictional roles and dynamics of parent-child domination and submission will continue, and there will be further tension and conflict.
Acknowledging our equality in the Sonship requires acknowledging that God is the Creator/Father/Mother, and that what applies to oneself applies to all other people including our parents and children. When we go before God, we all go together and our relationship to God is direct, one to one for each of us, with no go-between.
We must learn to undo all of the illusions of the typical parent-child relationship, the entire social structure based on it, and learn that we are all equal under God. This could eventually result in a radically different kind of society, if this were understood and practiced on a mass scale. It need not be that children are property or that they are forced incessantly against their will to comply and obey, rather than being empowered and set free. It need not be that only two people are burdened with the entire upbringing of the children. We are all in this together.