Not to the Temple, certainly, for the route to the sacred house from Zion, whence these appeared to be coming, was by the Xystus.
"Ben-Hur: A Tale of the Christ" by Lew Wallace
The private part comprised the peristyle, bed-chambers, triclinium, oeci, picture-gallery, library, baths, exedra, xystus, etc.
"Museum of Antiquity" by L. W. Yaggy
Xystus was his successor.
"The Christ Of Paul" by George Reber