The entire premise of the argument is flawed anyway. There are many factors for cases and hospitalizations / deaths. You can't cherry pick one comparison, at one point of time, and determine the attribution of one specific policy out of all the noise.
However, the only gold standard study done on cloth masks to my knowledge found no statistically significant benefit. If we are talking about cloth masks, I think we would have to accept that any benefit from them is very minimal at best.
Other types of masks like surgical or of course n95 do prove beneficial.