Hi, Will - as I always, expect, your post is thoughtful and clear.

The ability to work with others is an important aspect of leadership and you have nicely described some strategies and benefits to doing so.  My short response to your ending question is "Of course, relationships matter  ... a lot!".

I would add that this is one of those places where differences in personality and "style" (for lack of beter term) come into play, at least in my experience.  I remember some learnings that first came to me many years ago, when I worked on several college campuses with residence hall staff and other student development workers.  During that time, I was quite into experiential learning, ROPES courses, and physical challenges to build teams.

Here's what I learned, simply from a teambuilding POV:

Some people fall easily into extroverted behavior and are naturally oriented toward relationships with other people.   These folks generate verbal and physical energy.  They enjoy group activities, are usually up for socializing with fellow workers, and generally fit the perception of being a "People Person", as it is commonly defined.

Others are more introverted and more naturally lean toward fewer and deeper relationships with others.  They are less likely to find value in group activities, although they will participate and even excel at some group exercises, especially those which require thoughtful reflection before action.

All of this, of course, moves from the outdoor adventure camp to the campus and to the office building.   Some folks find it easier to get behind group projects, while others are happier doing solo work.   This is simply a characteristic of people which exists for everyone along a constantly shifting continuum, with a definite preference for one end or the other of that continuum.

Caveat:  Nothing I have noted in any way should be taken to mean that anyone is "stuck" in a particular behavior or thinking mode, or that they are incapable of shifting behavior as needed to meet a situation.  This is one of the best things about people:  They are quite capable and usually willing to move outside their comfort zone, when the leadership trust and support exists to help them do so.

Thanks again for a thought-provoking post which also allowed me a short trip down Memory Lane:)

John