In the wild they grow in small colonies. When they are harvested, they are cut at the base. I wouldn't call them branching, but more like bunches, like lobos do. Scroll down a page or so on this link and you'll see a bundle of them in nature.
http://tinyurl.com/a4r9l9
As far as fragging them.... You would frag them like Elegance Corals or lobos etc, very carefully and with a good deal of risk. You would slice the flesh with a very sharp scalpel across the mouth, then with a diamond band saw, cut through the base. They would be open to infection, which is the risk with many of the LPS of this nature, so cutting them clean then dipping in something like Coral Revive or TMPCC would be required. You would probably only be able to cut them in half, I wouldn't go into thirds or fourths etc.
In nature.. I would assume they spawn like most corals do. I would also imagine that they could be pinched off and split, or do that infamous sluff off like trumpts will do, dropping flesh like its melting onto surrounding rock and then growing a new head. I have also seen photos of buds sprouting out the bases.