What I'm describing is the situation as it is. This is the law in 50 of 50 states.
No you're not, you're making up your own rationale and trying to hobble it together around the ugly truth. You're describing your own contrived theory which attempts (poorly) to explain a clusterfuck of incompatibilities. The idea that child support arises from a "child's right to be supported by two parents" is a fiction that you have made up yourself. I already pointed out the glaring holes in your theory. If it were true, sperm donors would be required to pay child support. If it were true, a child would have grounds for legal action for any situation that caused the death of a parent, as it would deny the child his/her rights. If what you were saying were true, single parent adoption would not be legal, and adoption without the consent of the child would not be legal (adoption relieves the biological parents of the duty of support the child; if such duty was based on a child's right to receive support, then it could not be relieved without the child's consenting waiver of said rights). Sorry, but it just doesn't fly. Good effort, but no cigar.
The uncomfortable and unfortunate truth that you're simply going to have to accept is that the entire concept of child support in our legal system, much like alimony, is a sexist institution based on the notion of male guilt and obligation, and female victimization and helplessness. Even though recent times have seen a slight liberalization where males can successfully be awarded child support, the facts still remain that:
1 - Family law practice continues to strongly favor women over men, including in matters of child custody and support.
2 - The institution of legally obligated child support only exists due to the notion that men have obligations while women are victims of men.
3 - The principles and beliefs expressed by the law's dictations and actions are highly variant in application, with the only shred of consistent thinking being the female centric bias.