I had a great experience recently when I was able to sit in on a meeting that was being led by a client. They were debriefing an event and dealing with some uncovered problems afterwards. I was thinking of some potential counter-measures or approaches to understand the problems deeper but the team came up with everything I was thinking on their own!
As leaders and consultants, it is so important to give people the space and time to figure things out on their own. Be there to help if struggling, but allow them the ability to experiment and try things. Coach to the method of thinking but not the solutions.
For me, Lean is about developing thinking and getting results. Unless there is an emergency requiring quick action, no result is worth sacrificing the time spent developing thinking. Investing in people will help organizations thrive in the long term. A company or hospital with more Lean thinkers will be more competitive than another that is just implementing the tools.