I acknowledge that I don't know how it works out in practice.
Heck, do we even know that this mandate doesn't require good masks?
In any case, you'd have to ask them why; they also recommend that all children 6 months and older get vaccinated against Covid[0], contrary to the WHO who state that vaccinating children has "limited public health impact"[1], as well as the health ministries of other developed nations like Denmark, which doesn't recommend it at all for those under 12 years of age.
So clearly the CDC does recommend things outside of medical consensus every now and then, whether out of an abundance of caution, industry lobbying, or political policy reasons. I mean, doctors used to recommend cigarettes. Why did they do that?
[0]: https://www.cdc.gov/vaccines/covid-19/planning/children.html...
[1]: https://www.who.int/emergencies/diseases/novel-coronavirus-2...