The following query shows the ratio's:
select top 1000 id as [User Link] , UpVotes , DownVotes , case when upvotes is null or upvotes = 0 then downvotes else DownVotes/Upvotes end ratio from users order by case when upvotes is null or upvotes = 0 then downvotes else DownVotes/Upvotes end desc
The user you pointed out isn't even close to the top spot of this downvote/upvote ratio list, and I don't think it is a bad thing to be at the top here. I'm obviously slacking.
Eric Lippert can have the badge, as he states:
I reject the notion that a ratio is a valid measure. My intention was to have zero upvotes; I was trying to clear a downvote and accidentally upvoted. Second, I reject the notion that this makes me the worst of anything. Downvoting adds far more value to this site than upvoting. I have reviewed literally hundreds of thousands of questions and answers for free, and identifying the stinkers that make the world worse is a valuable service
I can't agree more. Communities needs heroes.
I think moderation towards quality is a positive behavior and down voting is certainly a good tool to signal any quality issues to both the OP and visitors of the post. If there should be such a badge it should be awarded for a substantial number of votes and the down vote ratio is above 10.