That's a good question I've been pondering for a while and still don't have a great answer for.
I think some of it is that one degenerate form of leadership is to conflate it with authority, and a lot of people's experience with "leadership" is simply to receive orders.
I actually would call what you describe as the ideal form of management, which is not leadership either. An ideal manager is not simply an authority user/abuser, but someone who clears obstacles out of the way and works to enhance the ones they are managing's skills, but ideally, only a bit of authority is deployed, and a manager may in fact exhibit no leadership at all. (For instance, corporate goals may simply come from higher up, or market pressures, or things other than "leadership" per se.)
(There are also degenerate cases where raw, naked authority is in fact necessary and extensively used; I'm sure a lot of us worked a job at McDonalds or some rough equivalent and have memories of how much it was based on authority... fewer of us have experiences of managing in that environment and being directly exposed to the fact that it is just the only way to make it work, however distasteful you may find that fact.)
For me, leadership should be reserved for the cases in which one is visibly leading, e.g., you start a new initiative somewhere, gather up people to voluntarily follow you by a variety of non-coercive means, and then hold the group together in a variety of very context-sensitive means.
True leadership is rare. Authority is inescapable, good management is a gem to be treasured but still not that rare, but leadership is a rare thing. Most groups are held together by other bonds.
Halfway through the spot, host Gordon Ramsey (whom he was apparently trying to emulate) intervened and afterwards, the kid started saying things like, "Hey, let me know if you're having trouble with the panisse cakes; I can help you out as soon as I'm done with these string beans."
Good lesson for all of us.
I also take issue with the assumption that everybody ought to be a leader, or at least try to be one. Apart from this being quite obviously impossibly, it shows a distressing lack of appreciation for all those team members who do not „lead“.
Having lead multiple teams over the past years, I have become increasingly grateful for and respectful of team members who work quietly in the background, reliably doing jobs I often could not do myself. We do ourselves a major disservice when we only value those tasks which happen in the limelight. Having a good leader is important, but in a team that is only one task among many.
I guess this is because it dovetails with common experience. A leader these days doesn't have to have subject knowledge, he has connections and charisma and knows where to find experts that work for him. Just look at Elon Musk.
One of his outstanding characteristics is that he is constantly learning subject knowledge. Yes, he hires subject experts, but then he effectively arranges for private tutoring until he knows what he needs of what they know.
Elon is a big believer that he should be able to do any job of anyone who he employs, and to a shocking extent it is actually true.
Why is the popular conception of leadership "bossing people around?" A healthier and more productive view of it is giving people what they need to grow and be successful. It's when a person guides someone and serves as a good steward for them, not exploiting them to whatever ends are at hand.