I did a Google search because a wife not being allowed to have her husband present during childbirth sounded too egregious to be true. I found a single Today article about one specific hospital in New York enacting that policiy (NewYork-Presbyterian). That's not nearly widespread enough to apply to any story of a COVID-era childbirth you hear about, FYI.
It varies widely by state/county, etc, but in most of the US, hospitalizations were pretty low still in April. The first peak was around August which was my experience, and the second peak was around January 2021.
So as far as "A bunch of medical professionals shaking in their shoes waiting for something that never came", they were waiting for what was actually coming.