Maybe I was stuck here because each of the few fill tool discussions I've seen emphasize the margin and how this tool is not appropriate for precision work.
Oh, what you read is right! It definitely is not good for precision work. It can be used for precision work, if the user doesn't mind doing the tweaking of the nodes that is required to make it precise.
Also for your specific use, filling spaces between wider borders, is exactly what it was designed for. Depending on how wide the borders are, it doesn't need to be precise. As long as the edges are hiding underneath that border.
Now I'm pondering ways to help get the word out to make this tool more useful to others.
What kind of work are you doing this for? Or what community of users do you want to tell about this? I just want to be sure we're all on the same page, so to speak. It's possible that it still might be better to use a traditional vector fill (by making a closed path for each space that you want to fill).
For example, if this is going to be used with a digital cutter of some kind, I would say you'd be better off with making a closed path for each space. I think that's what you were trying to figure out. I'm just a little confused why Break Apart was hanging Inkscape, when you did the Difference operation just before, that should have hung it up as well.
Could you share the actual file? There might be a problem with it, which we could help you identify. I'm not very faimilar with GIMP so I'm not sure what you meant about something originating as a gimp selection. So it makes me wonder if there's something unexpected in the file.
Or if you can't share the actual file, could you make a test file using the same process you used?
I did try importing my posted Path Demo 1.svg file into GIMP and it was a total mess.
I'm just curious about this part. How did you try importing it into GIMP? As I said, I'm not very familiar with GIMP, and when I tried opening the SVG, it opened fine, but it doesn't look like it opened as vector paths. Or at least, when I used the Paths tool, I can't seem to edit that file.