I think the same Cochrane study said cloth masks are likely entirely ineffective

That’s not what the science says. It seems logical, but the mask is supposed to protect the wearer from external shit. It seems logical that it would slow down the spread if an infected individual wears a mask, but the science is far from clear on this after a multi year long pandemic. If a mask makes you feel better, then wear it, but it’s not evident that it plays a big role when it comes to respiratory viruses.

https://www.cochrane.org/CD006207/ARI_do-physical-measures-such-hand-washing-or-wearing-masks-stop-or-slow-down-spread-respiratory-viruses

There is uncertainty about the effects of face masks. The low to moderate certainty of evidence means our confidence in the effect estimate is limited, and that the true effect may be different from the observed estimate of the effect. The pooled results of RCTs did not show a clear reduction in respiratory viral infection with the use of medical/surgical masks. There were no clear differences between the use of medical/surgical masks compared with N95/P2 respirators in healthcare workers when used in routine care to reduce respiratory viral infection. Hand hygiene is likely to modestly reduce the burden of respiratory illness, and although this effect was also present when ILI and laboratory-confirmed influenza were analysed separately, it was not found to be a significant difference for the latter two outcomes. Harms associated with physical interventions were under-investigated.