Personally, I'm surprised this article suggests Fauci lied, because I definitely remember reading about the full explanation behind the CDC's recommendation against public mask wearing way back in March 2020. I remember reading that the recommendation against public mask wearing was mainly due to supply chain concerns, and that the general public should use improvised masks instead, if they can.
...maybe a lot of people only heard the short soundbites instead of the full story...? I'm just speculating here.