Infact Tim the picture above on the left has the one that did flower....you can see it begin th shoot up narrow and tighten at the top....
You sound like an intelligent user so I will respond to your remarks......i wouldn't use the word woody at all, instead very rubbery and flexible...
This succulent looking plant, grows fast and tall, then falls over reroots and grows up again. The stems have horizontal lives every inch or so...