There is generally no first amendment protection for publishing confidential information about products, partnering relationships, strategy meetings, and the like.
My guess, though, is that the first-amendment angle made it just murky enough to cause Twitter to make a judgment call to "work with" TechCrunch to limit damage and try to be done with this.
I see it as basically extortion, however, with Twitter being coerced into giving grudging permission to let this stuff come out.
What a massive embarrassment for Twitter. I have worked with literally thousands of founders and entrepreneurs over the years, and I don't know one that would not be thoroughly red-faced at watching this sort of stuff being splashed about the web (not because the information is damaging in itself but in having allowed this to happen).