By contrast, amniotic fluid can be easily obtained during or right after any typical pregnancy -- and there are roughly 4.5 million births a year in the United States. The fluid can be withdrawn through a needle for a diagnostic procedure known as amniocentesis. The same fluid is routinely discarded when a woman's "water breaks."
SO they mention amniocentesis as well, and they point out (although they don't seem to understand the results) that the fluid is "discarded" when the "water breaks".
Meaning: If the woman's water breaks, they aren't getting any of the fluid. They can only harvest the fluid if they bring the woman in BEFORE the water breaks, and break the sac in a controlled way, and with the appropriate sanitization protocols.
Also, there's a lot of research that is yet to be done to find out if the same useful cells exist in the amniotic fluid at 40 weeks, the research was on fluid harvested earlier in the pregnancy.
Good grief, you dispute your own point in the excerpt you posted.
amniotic fluid can be easily obtained during or right after any typical pregnancy
Can we just agree that this represents a breakthrough and "can't we all just get along?"