[palmer_eldritch]

From DanBC above: At will, secret, testing is banned. Parents can get court orders if they want a paternity test.

The "labs lobbying" comment was kind of tongue-in-cheek: making fun of the "crazies" being paranoid about "crazy feminists"...

The real reason's probably more about bioethics: no dna profiling of people who don't consent without a court order (and children being too young to consent, you need a court order for a paternity test).