Correct. I should have been explicit about the technique I had in mind:
https://en.wikipedia.org/wiki/Cell-free_fetal_DNAAFAIU, if the non-invasive tests turn up positive doctors may recommend (and patients may prefer) amniocentesis for confirmation.
I just find it interesting that California would so quickly embrace such new technology. I think it became required about a year or so after the tests hit the market, even before they became widely known (obv still not widely known). But given the rising costs of healthcare, and the incredible amount of public money spent on developmentally disabled individuals[1], it makes alot of sense. For similar reasons, California has had for many years mandatory blood lead testing for all children living in pre-1978 housing. (I think in most states blood lead testing is only mandated through Federal Medicaid regulations, which require testing for child Medicaid recipients.) California's housing and population explosion coincided with peak consumption of leaded paint and leaded gasoline, so California has a uniquely acute lead problem.
[1] California has very generous educational programs for the disabled (generous relative to most states), partially as a result of state-based constitutional precedent. By generous I mean a ton of money is spent as a fraction of overall expenditures, relative to most (all?) other states. This is a smallish part of why in-classroom expenditures seem meager relative to other states. Many parents, OTOH, likely have lesser opinions about how generous the programs really are. But school-based speech and physical therapists, for example, can make a very decent living in California, even in the Bay Area. Better to work through a private contracting firm; working directly for the school districts tends to pay less, though benefits are better. I know at least one serial entrepreneur who started, built-up, and sold two school-based therapy contracting firms, and has already started a third.