Most were. Still, their staff do. But the point you're appearing to make normalizes injustice if they didn't happen to take an oath. What does this have to do with anything?
The vast majority of hospital admin staff aren't. Plenty of secretaries, orderlies, cafeteria workers, and janitors. The accountants, IT, lawyers, and HR probably weren't doctors or nurses either.
Only pointing out that many didn't take an oath, not that what they're doing is ethical. Holding people to an oath they didn't take doesn't make much sense.