I remember the video a couple of weeks ago with the flight attendant argueing with a passenger that he needed to wear a mask not just a face covering. He claimed it was a CDC regulation. I doubted it and looked it up. The flight attendant was correct. But you are also correct. If an airline or any business requires it, you have to wear it.
A little off topic: When searching for the place I found the mask info before (I failed to find it) but found this in the CDC Website about flights - for anybody fearful of flying during these Covid times...
“Most viruses and other germs do not spread easily on flights because of how air circulates and is filtered on airplanes. However, social distancing is difficult on crowded flights, and sitting within 6 feet of others, sometimes for hours, may increase your risk of getting COVID-19.”
We flew from Arizona to Florida to go to Disney World in August. Southwest Air claimed they would only seat passengers in every other seat. They lied. On both flights we were packed like sardines. They also didnt serve any alcohol or meals on a 5-1/2 hour flight. WTF??!?