Specific example: https://mobile.twitter.com/alexstamos/status/115839279568757...
BitMitigate has a case for tortious interference over this tweet, IMO. Alex knew of contracts between BitMitigate and 8chan (or Voxility), used his influence to induce Voxility to make it impossible for BitMitigate to fulfill their 8chan contract (or for the breach of their voxility contract), Alex was not privileged to interfere, and there were economic damages suffered. That's all the elements necessary for a tortious interference with contract claim.
>IANAL, but the first amendment provides strong protections against tortious interference claims.
Indeed it does. Generally, merely sharing truthful information does not provide a basis for tortious interference. The problem I have isn't that these sorts of statements are false, but that they come attached with a threat of an active negative PR campaign. The format of twitter makes this particularly salient, since it makes it easy to get viral traction and hard to communicate extensive information. And the tweet I linked earlier didn't tell Voxility anything it didn't already know, it simply publicized things and used the author's influence coercively.