Routinely, hysterectomy also includes salpingectomy and oophorectomy, culminating in the removal of uterus, fallopian tubes, cervix, and ovaries altogether.
The ligaments that keep the whole lady-plumbing-assembly suspended in position in the pelvic cavity would therefore need to be cut for removal, and the upper end of the vaginal tract sutured shut just past the cervix.
Given that the only thing keeping the muscular tube of the vaginal tract positioned just so within the pelvis is its connection with the cervix and uterus, this results in the very common problem of vaginal prolapse post hysterectomy, which could be conceptually blurred into "internal organs fall out".
Slightly gory detail
The ligaments that keep the whole lady-plumbing-assembly suspended in position in the pelvic cavity would therefore need to be cut for removal, and the upper end of the vaginal tract sutured shut just past the cervix.
Given that the only thing keeping the muscular tube of the vaginal tract positioned just so within the pelvis is its connection with the cervix and uterus, this results in the very common problem of vaginal prolapse post hysterectomy, which could be conceptually blurred into "internal organs fall out".