I’m not sure that refutes anything in the article

It nuances ”leader” and ”manager” from something you are to descriptions of problem-solving toolkits when dealing with people.

In that sense it could be reconstructed as ”soft power mode” and ”hard power mode” where the former inspires confidence and encourages creativity and the latter emphasizes compliance and alignment. Any person in a position of power will utilize strategies that could be seen as signs of either mode depending on the situation.

Honestly I think people are just going to use whatever definitions are most convenient for them to make their point. That’s the problem with vague terms.

1 thing that leaders do that managers never do: Call themselves leaders

Rather a manager mentality in a leadership role calls themselves a leader. True leaders rarely have to assert this notion, it is naturally assumed and respected by those around them. The world is awash with people ill-suited to "leading" people leading people. We are all suffering the overburdening of society with the "educated".

“Any man who must say ‘I am the king’ is no true king.” --Tywin Lannister

Actually based on the characterisation here, that's one thing that managers do that leaders don't