Do these badges run against each other, at least for some time frame?
It would seem to show sportsmanship, one would be encouraged not to clean up posts at all (whether bad -3 or good 3+). Sometimes a question has 5 answers that say the same thing within one minute. It could end up 3+ quickly while another better answer exists. User duly upvotes other answers. This badge would encourage users not to their own answer (at least within some time frame) until after the Sportsmanship badge has been earned. After a while, the user will forget about the question and never remove what is cruft on an aged question.
Sure, some people can gain the badge in 4 days, but not everyone is a fanatic.
BTW, does anyone know if multiple upvotes on the same question count as multiples or is it one per question?