Even procedure masks and homemade masks slowed progression. This has been shown.
No mandate "works" if people choose not to follow them. That, however, is sociopolitical and has nothing to do with to subject of the mandate. Further, because of the extremely variable situations in terms of compliance and viral transmission level variance, we are left with observational studies, which are (in my honest opinion) worth only the paper they are written on.
I firmly believe that all masks slow transmission, and have the personal (observational) experience where those of us in health care generally caught Covid at home from our kids, rather than at work where we used both procedure and N95 masks.
If you want evidence that masks work, the science is there.
If you want evidence that people don't follow mandates, the science is there as well.
Don't conflate the two.