What makes it interesting to the museum curators?
The point of interest of this piece is that it is really representative of pieces known as "scholar objects". Or objects that scholars in China would place on their desks to use for meditative experiences, to get lost in thought. In East Asia, old trees are admired for their resilience and endurance. To the scholar who displayed this tree, it was a reminder of the wisdom that comes from experience.
Also, coral is a very valuable and beautiful material.
Coral is a hard material to work with and requires some practice and skill. The carver selected this piece for its form and shaped it to look more like a weathered tree. The finished piece was polished, too.