You explain inspired leadership as the leader being inspired to come up with solutions, yet the way I understand and experience inspired leadership is that the leader inspires his followers to do more, be better, improve etc.
From a more TPS (lean manufacturing) perspective, it is about empowering and respecting the people. Inspired leadership according to the Toyota Way is about giving the people the power for example to stop the production line when they see a problem. It is also about asking guiding questions to help the people get the answers rather than telling them what the answer is.
When a leader inspires his people, they are motivated, and ultimately, productivity is very much related to motivation. A demotivated workforce is a unproductive workforce.
I would reframe the reference to inspired leadership to focus more on motivating the whole group to help Herby carry his goods and stay together as a team than focusing on the leader coming up with solutions.