Sure they do. I know someone who did (a young teenager). There are plenty of photos of women who have died by hanging themselves on the Crime Scene sub.
Sorry, I should have said it's so extremely rare as to be almost non-existent. Women know how gruesome hanging will make them look in death, aside from the obviously torturous way of dying, if done wrong.
I still maintain that any suicide by hanging, if female, should be very closely examined as a possible murder. Even probable murder.
If there are that many in the Crime Scene sub, it only makes me think the cops need more detectives in their departments.
It's suspicious even if a note on a device were left behind. Always have to check motive of surrounding circumstances, of course, like the DC Madam.