So you think the title should [sic] come from the conclusion section of the paper? That is where I got it. Did you read it?
Mattias, isn't that obvious, come on, give me a break, ok?
I think the title best reflects the actual conclusion that can be drawn from an objective view of the results of the paper. As I have discussed before, the conclusions are often a bit looser. In this case, the post title is not strictly incorrect, I would agree, because of the conclusion of the 'and'. What the authors contrasted in their model does not allow them to say anything about masks or ventilation separately versus distancing.
If we want to be strict and prosecutorial in our interpretation of titles, as you are wont to do, I note that the use of 'and' by the authors and in your title is ambiguous. It could mean that both masks and ventilation, considered separately, are better than distancing. Or it could mean that the combination of masks and ventilation is better than distancing. The authors statement clearly had the second meaning in the context of the whole paper, but does not in the separated title which you chose. Thus it could be improved. Now, I am not normally a big fan of this sort of prosecutorial inquisition into people's wording. I prefer to focus on the actual meaning of the data and analysis. Let's focus on that, shall we?
And in this study, the masks were assumed to be leaky. So I don't know how you think this is a flaw in the paper.
The degree of leakiness of the masks likely has a large effect on the magnitude of the effects observed, as stated by the paper cited by the authors. Yet the authors make no attempt to vary this parameter and see what effect changing it would have on their conclusions. That is normally a standard part of testing the validity of models, it is called studying parameter sensitivity. That is a flaw which limits the strength of conclusions which can be drawn from this paper. Not to say it is pointless or worthless, just rather limited.
The DANMASK-19 study concluded masks did not decrease infection rate of wearers by at least 50%, and was inconclusive for a lesser decrease. Since leaky surgical masks reduce particle transmission by 44%, and 44 is less than 50, I would call 44% "consistent" rather than "inconsistent."
I am sorry but we have discussed this before and it really does represent a fundamental error in statistical interpretation. The fact that a study failed to find a significant effect at a p<0.05 level with an 80% power to detect a 50% of greater effect does NOT imply what you say here, that is was "inconclusive for a lesser decrease".
If you want to interpret the data of the DANMASK-19 study despite the fact that any observed difference was 95% likely due to chance, the proper interpretation as a point estimate of the effect is that there was a 15% reduction in the rate of infection. And that there was a roughly 25% chance there was actually an increase. You can't just take the extreme end of a 95% confidence interval like that and try to claim something was "consistent". If anything, the confidence interval says that 44% is rather unlikely. We can compute the likelihood of a 44% reduction given the data from DANMASK-19 if you like, but it is most certainly a lot less than 15%.