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.