The red bull suit didn't have anything to do with the wings campaign. That was just the media doing what they do. The actual suit was against red bulls claims that their energy drink gives you more of a boost than a cup of coffee and was actually found to be not true.
Settling basically worked out in their favor because they got to give away a bunch of red bull, which is a thing they do anyway in a lot of cities.
The wings campaign was the campaign they were sued for, its the campaign that claimed their energy drink gives you more of a boost than other beverages.
The media tried to make it out as though Red Bull got sued for the 'Red Bull gives you wings' slogan which is incorrect, it was that campaign but not for the slogan.
Not sure how losing 13 million dollars worked out for them, companies don't do giveaways to lose money. Red Bull does the giveaways with good looking red bull girls for relatively cheap advertising and to portray a certain image of the product and people who drink the product. Sending a $10 check to someone's house doesn't give this benefit.