He suggests ( as has been argued) that it is likely she put her right hand to the throat - this is consistent with the autopsy notes - which stated that her right hand was blood stained and was likely responsible for the print on her night dress. I don't understand why this changed in the written statement to indicate no blood on her hands.
It wasn't changed. The statement notes the blood on the outside of her palm which was transferred to her gown. It says there was no blood INSIDE her hand or on her fingers. The police said the same thing no blood onside her hands or on her fingers.
Hold your hand like you are going to do a karate chop, pretend you have a wound to your neck and try to plug it with a bottom of your hand (the part in between your wrist and bottom outside of your pinky). That is where the blood was the bottom wrist and outside of the hand. The blood then dripped down from the wrist towards the elbow.