Sorry, but this doesn't sound like "no strong evidence":
Without adjustments for other variables, the two intervention groups had about a 10% reduction in overall ILI incidence over the 6 weeks compared with the control group, but this was not statistically significant.
However, when the researchers analyzed the ILI rates for each week of the study and adjusted for other variables (age, sex, ethnicity, baseline hand washing practices, sleep quality, alcohol use, flu vaccination), they found that the FMHH group had significantly lower rates than the controls in weeks 4, 5, and 6 (35%, 44%, and 51%, respectively).
The adjusted rates for the mask-only group also were lower than those of the control group in weeks 4, 5, and 6, with reductions ranging from 28% to 42%, but this did not meet the authors' significance criterion of P<.025.
The authors say several factors may explain why a significant reduction in ILI was found only during the second half of the intervention period. One is that recruitment of students continued through the first 2 weeks of the intervention, increasing the sample size by 11%. Also, the proportion of FMHH participants who wore their masks more than the average 3.5 hours a day increased in the later weeks of the study, and confirmed flu cases on campus peaked in weeks 4 and 5.