I learned a lot of things there! The training I received was focused on two components, what they called Awakening and Responsibility—Awakening referring to contemplative practices and monastic structures designed to lead to classical enlightenment, and Responsibility was hands-on leadership training through helping their non-profit organization.
Learning about power was indeed one of the most valuable lessons I learned there, specifically on the responsibility side. Basically, I went from not caring about power, and subtly believing I shouldn't have it, to believing that it's worth using the power I have to do good things. Nowadays, I spend most of my time doing service projects, using my power to benefit others. My blog and this post is one of them!
My teacher had definitions of wisdom, love, and power that he shared in his teachings, which I personally found useful, but you're right, there aren't culturally agreed upon definitions of them. I find getting to know people over time gives you a sense of their character, their values, their strengths, and their weaknesses. When I meet someone I deem to be wise and loving, I want to help them, give them resources, connect them to people, and find other ways to support them.