I would think that if you’re dealing with a reputable clinic both the woman and the donor would sign an agreement stating that the donor cannot be held responsible for child support,etc. In fact I would think that it would stipulate that the donor can’t even be identified.
With all these dna testing services, you could potentially identify the man or perhaps a close relation and track down from there. I don’t personally like those services but I know plenty of people who use them. I think they’ve solved some crimes by tracking down relations of the perp using DNA.
why do you think a family court would honor such a document. There is no law or justice in a family court.
What you are talking about are those things that could be described as “laws”.
Laws are optional now. Enforceable for some and non enforceable for others.