Does it even make sense to say "won't", or for that matter bring up anthropic considerations, in reference to causality violation?
I'm not sure. If a universe allows sufficient causality violation then it may be that it will be too unstable for observers to arise in that universe. But I'm not sure about that. This may be causality chauvinism.
(I feel like there's a joke to be made here, something to do with "causality chauvinism", "causality violation", "too unstable for observers to arise", the relative "looseness" of time travel rules, maybe also the "Big Bang"... it's on the tip of my brain... nah, I got nothing.)
http://www.nature.com/news/2011/110922/full/news.2011.554.html
http://arxiv.org/abs/1109.4897v1
http://usersguidetotheuniverse.com/?p=2169
http://news.ycombinator.com/item?id=3027056
Perhaps the end of the era of the light cone and beginning of the era of the neutrino cone? I'd be curious to see your probability estimates for whether this theory pans out. Or other crackpot hypotheses to explain the results.