Wouldn’t Jacob’s Well be a pre-Christian (Israelite/Samaritan) site? Or do only Christians identify that particular well with Jacob’s Well?
It’s on the grounds of an Eastern Orthodox church and monastery. It probably does date to the pre-Christian Era. The area is under control of the Palestinian Authority.
Wells have always been prescious in that part of the world. Jacob’s Well is pre-Christian, but it is also held by tradition to be the site of the encounter of Jesus and the Samaritan woman.