I remember years ago reading about a serial killer, a man, ( cannot remember the name, but think it was on a USA tv show ) who would, after killing his victims, in their home, wear a wig, and some women's clothing, to make him look like the dead victim, leaving the house. They got him on video once, and they noticed he was taller than the victim, also she was never known to wear dress pants, always a dress. He had on black slacks and a beige trench coat like she wore everyday -- also a long blonde wig, like the victim's hair. He was only seen from the back on the video, and quickly drove away in her car.
This, plus your interesting comment, makes me wonder if there is any possibility that one of the assassins tried to look like HS coming into, or leaving the house. Food for thought. IMO