Leaders and leadership - where's the connection?

Once again, I had the pleasure to visit TED.com to listen to a presentation - this time, it was Simon Sinek, author of the books "Start With Why" and "Leaders Eat Last". In the presentation, he tells us abour leaders, and leadership in general:
In the presentation, Sinek draws the following conclusion, which i find immensely interesting.

Leaders hold a position of power or authority, but those who lead inspire us. Whether they're individuals or organizations, we follow those who lead, not because we have to, but because we want to.

- in other words: if one claims to be a leader, it does not necessarily have any connection to whether or not one is able to exhibit leadership abilities - as we do not follow leaders because we are told that they are leaders, but rather because we want to follow them. And it is the leadership rather than the title that is important.
Maybe more leaders should take this into consideration?
(Translated from Hvad har ledere med lederskab at gøre?, originally published February 28, 2016)