We have numerous studies that show that mask mandates work, regardless of the inconsistency in the make/materials of the masks being used by the public. The Kansas study, as one example, was an excellent apples-to-apples comparison.
https://www.cdc.gov/mmwr/volumes/69/wr/mm6947e2.htm
While an N95 would be preferred, masks that aren't medical-grade masks are also at least somewhat effective in blocking saliva droplets (and thus the virus) as well. See above for the Kansas study, which is one of many studies that shows that mask mandates work.
Some of what Fauci said in the video is still true today (e.g. "Masks are not perfect protection"). However, comments like "people should not be walking around with masks" are outdated, and Fauci has said so. I already explained earlier in this thread (perhaps even in response to you) that Fauci said what he did about masks because a.) The science wasn't completely clear about reusable cotton masks and other masks that weren't medical-grade masks, and b.) There was a shortage of medical-grade masks, and he specifically did not want ordinary citizens hoarding medical-grade masks when the healthcare professions needed them most.
A position that can only be defended by out-of-context and out-of-date YouTube clips, instead of by the science and scientists, probably isn't a defensible position.