Women probably do not want to hang with the men these tweets will attract. The incentive for disinformation is large.
I can see the incentive for disinformation, especially for managers/employees of these venues. This problem can be solved with scale (one reported ratio completely different from the others is a red flag). Of course until we reach scale, we can't do that; but also, until we reach scale, there is not really incentive to misreport.