The purpose of Legacy was almost a mirror to the Petals of the Seeing Thorn. The latter was obsessed with gathering information about people, politics—the sort of information that could bring the patriarch of a powerful family or organization to their knees.
The former, however, only cared for improvement.
When Legacy saw that the Petals of the Seeing Thorn had such a trump card, they obviously wanted to study it. How had this rare plant been culled and controlled, even turned into a weapon in the defense of the organization?
Once Legacy was interested in something, they would definitely take action. But Legacy was also not a confrontational organization. They chose their spots and only acted when it wouldn't offend or step on toes they couldn't afford to step on.