I don't think there are any examples of someone donating reproductive material through proper channels later being on the hook for child support.
The point is proper donors should have no parental responsibilities! It should be impossible to dodge actual relationship support with it or misconduct. Dirty fertility doctors who use their own sperm for all patients? Yeah hit them with 47 counts of child support.
Similarly it would be reasonable to have requirements for eligibility in exchange for the "severance" to ensure the child(ren) will be no more likely to require state support than a similiar couple reproducing directly - changes in circumstances can happen to anyone of course.
The issue here is that I fundamentally do not believe it is at all ethical to do this.
Are there already such laws?
There are documented cases of genetic half-siblings having a sexual relationship because they did not know they were donor conceived.
There are documented cases of suicides from adults finding out they were conceived from anonymous sperm donation and that "their Dad was not their Dad."
90% of donor conceived adults do not know they are donor conceived - and so all have provided incorrect medical history information to their doctors. Does that not seem like a risk?
A much higher % of people conceived with an open ID donor are told of their origins.
Or should that just be "in the fine print" when you donate?