Oh come on, your argument is self defeating. If doxxing individuals would be the only way for a voter to learn "if left handed people are significantly overrepresented", you would need to make all properties of everyone public, because there could be significant overrepresentation for any property.
And if you already know that "left handed people are significantly overrepresented" from some other source, you don't have to make the information public for these cases -- you know it already. Probably from a proper statistic made by the government. Not by counting a media-reported incident also reported the person to be left-handed.