It's all very easy to say that lots of children concieved naturally don't know their fathers because they are deadbeat dads but I doubt most women bringing up children in that situation intended that to be the case. To deliberately have a child knowing that they will not know who their father is and that the father will very likely not want to know them is a different matter.
Every child has a right to know where they came from, who they share 50% of their DNA with and who their extended family are, it is natural to want to know our family histories. Even if they are able to find their father at 18 due to the new rules, it will be way too late to have any kind of bond with that parent.
I would also worry about them meeting their father's family members not knowing they are related. Genetic sexual attraction is a real thing and could be a growing issue leading to genetic defects in their own babies as more and more IVF babies grow up.
As much as we would like to, is it not extremely arrogant to want to cut out the father's role in procreation and that includes after the birth.
Not all selfish to want a child, it's a biological mechanism, but it is selfish to not want to put the work into a relationship that will beget one so that the child does need to question who they are. Fertility issues aside.
LRD your child's sperm donor will be your his/her father. It would be pretty crass to deny that.