I've debated this through-out the development process. Obviously the unique feature here is the private analytics data, and making some cligs public might confuse things.
It's something definitely on my mind but not sure how to deal with it.
I would do it for sure. Most people probably wouldn't care about the links traffic being public, but they will be turned off by a registration process.
That would make me not use the service. If I'm short-linking on my blog or Twitter account, I want to know that if someone clicks that link 2 years from now, it will still function.
I actually would be curious to see how many people clicked it (and when) and I usually wouldn't care if other people saw it as well.