Okay, so here's your homework for today.
Make a statistic analysis of the probabilty that a forum member with a 'Lucite' avatar is interested in a case about a suspect named Lucy.
Of course this is nonsense. Perhaps you can build a model that indicates a correlation, but correlation is not causation and neither is it in this case. No way did my avatar cause me to become interested in the arrest of Nurse Lucy. In fact, if and when you present your model, I'll be especially interested to see if you included the fact that I had a different avatar when the news about this case broke and I posted for the first time.
It is no different for a statistical analysis of cases of suspected murders. There are so many factors that might play a role, and they may not be what they seem at first sight. The blog was great reading, because the author debunks a lot of them.
IMO what I think happens is that the 'experts' built a seemingly convincing story / model to prove guilt. There is bias to begin with. The doubts about these models are reasonable, and many judges fail to see that.
Makes one wonder why the practice persists.