Is there another name for continent ileostomy?

Yes: Kock pouch or a modification called the barnett continent ileal reservoir/bcir.

Koch + J S W pouch: This is a complex subject and i understand your confusion. The conventional continent ileostomy is called a koch pouch and its opening is located on the abdomen. Other surgeons have described a variety of other procedures where the end is attached to the rectum using an lido-anal pull through technique with a pouch formed using a variety of configurations known the j, s, or w pouch modifications.