Well, we have lots of data and we look at it all the time. Does that count as quantitative evidence? I wouldn't say so. I would call it just-so stories with data.
People who ask us about this usually would prefer a world in which all such calls would be free of human interpretation. That's a fantasy, in my opinion. We don't try.
> all such calls would be free of human interpretation
This is a straw man argument. Simply revealing on what basis the decision was made and letting the community voice approval or disapproval would go a very long way.
Consider a title change decision. Most of the time, title changes are minor and reasonable, but once in a while they effectively hide what is interesting about the story from readers. Readers should simply be able to vote on whether or not the title change was helpful, so that mods can learn from those votes how to effectively moderate the forum.
Similarly, it would make sense to reveal any strategies that are used to improve HN such as deducting points from stories, etc, and to make it obvious when this has been done to a story, so that the community can express approval or disapproval of the decision.
I think the main fallacy that the moderation approach embodies is the idea that by simply not discussing politics HN is avoiding becoming political. That is not the case at all. By suppressing or avoiding important political issues, HN is making a very vocal political statement that those issues should be ignored.
Instead, why not bless certain HN users to write comments on highly political articles that will be pinned to the top of the page to give voice to reasoned and discussion-shaping views. This would break the cycle of highly politicized retorts and rejoinders that is what HN should actually be trying to avoid. The key here is to grant more trust to the community, not less. There are a lot of people on HN whose views I deeply respect, and when there is an important issue going on I want to know what they think about it.
Human editorial is fine, but banning/throttling/suppressing users and views is a sinister way to express editorial views. You can frame it as being about manners, but it's rarely actually about manners.
Edit: My account seems to have been throttled for 30+ minutes. Thanks for the mature response.
People who ask us about this usually would prefer a world in which all such calls would be free of human interpretation. That's a fantasy, in my opinion. We don't try.