Hi! Yes, it is one of the cylindricas ~ perhaps I need to search in that direction.
I also have a Sans Francisii which is a lot smaller than this one but is similar to this plant. The tips of the leaves on both plants have a really sharp brown tip. The Francisii also puts out a runner for the new plant in the same manner that this one does. I just don't know... I've not seen one like it. My start was shared from the Oregon area.
I got lost in the BobSmoley link for a while. That is sure dangerous for me... lol