how about a new bronze badge showing the loss of rep in the rep recalc of 2010?
Uhmm ... let me think, ... no.
How about we all accept it's a good for the community as a whole?
Besides, what would the badge say for all the people that had their reputation boosted because they are good answerers and didn't get their reputation from asking questions?
The prize is a better reputation system for all of us, we need nothing more.
I don't want to discourage you from suggesting improvements and additions to the SO sites, but this one does not rank well when considered against the purpose of badges.
Badges are to encourage good behaviour on the sites - what good behaviour would such a badge encourage? Less whinging, perhaps? Of course, there's no way to measure that so the badge would be hard to reward without manual intervention.
That said, you might sell a t-shirt or two if it carried this slogan.
Sure -- but you should only get it if, during the recalc, your rep goes up instead of down. Sort of a retroactive award for acting in accordance with the best interests of the site despite the previous equal weight toward questions and answers.
How about an "I got a badge" badge? We'll just give one to everyone because, hey, new badge, right?