Speaking of leadership, what about Captain Picard?

This is an apple vs orange question. We can, but hypothesize on Picard's handling of the situation you mentioned. To get close to an accurate hypothesis, a comparative analysis on the backgrounds of the two leaders must be done.

One example is that Savage was a bucket of cold water splashed on his demoralized regiment. They of course, had no idea what their new commander was like and they least expected such 'Savagery' in the wake of circumstances.

On the other side, Picard's reputation was known throughout the federation as a proven leader; hard but fair. His crew knew what to expect from him when they signed on.

Know this, though: every time Picard and his team encountered the strange and unknown ( which was often), they risked death. I believe there are quite a few episodes where he sent an away-team to an unknown terrain completely exposing them to unknown dangers. Many times, he also lead them on critical missions placing his own life at risk.

Both men were great leaders and were respected by their peers and contemporaries. They placed their own lives at risk to inspire their troops. And they did it in a way best suited to the situation.

Now, not many look at Star Trek TNG as part of a leadership series to be taught in the same elite universities where they screened 12 0' clock high, Guns of Navarone and 12 angry men. There is one book written about Picard's leadership that does little to convince anyone. There may also be a few references made in journals that I am aware of.

It's really up to to the individual to see and learn.