So the differences between the 2 groups was more than whether they received a transfusion of not. The non transfused patients were not homeless, there is no record of prior medical conditions or general health which may also have affected the outcome.
There is also no record whether the JW patients had all received antibiotics in a timely manner or whether those that died had done so after receiving antibiotics.
If this was a study it would be hoped that both groups received the same medical care with the exception of the blood transfusion and that both groups were similar in other ways to ensure that the conclusions drawn were valid. It seems that the homeless women were treated differently and that failure to provide all the care they needed was what killed them.If you remove the women who did not receive antibiotics from the study then witness women did not do as well as the non witness women.