That makes sense. You are likely to get a very long print out, but that is not a major problem.
What about all of the collapsed nodes? Are you looking for the current state to be printed (with some open and some closed) or the entire tree fully expanded?
case=11169 is implemented in build 2031 as a context menu command to copy all content of the VA Outline so that it can be pasted and formatted as you see fit in another application.