This seems to work great! Thanks, Ockham!

I'm not using it for animation, just for automating this and it works great for that. Just one thing though. It doesn't understand props, just figures, right? I had to flatten the scene props I added myself (and I didn't do as good a job of that as your script).

I loaded up Koshini and ran the script. Then added the props and ran the script again. Nothing changed. Then I added Gobbles, and ran the script again and Gobbles flattened out very nicely.

Your script makes things sooooo easy!