Ha, yes, the impending zombie apocalypse!

Thank you, Andrew, for the solution!

Incidentally, I also need to leave track changes turned on in these docs I'm looping through, so, in case someone else finds this post and has a similar need, I ended up going with this:
...having just learned that you can find out the built-in command name via customizing the Quick Access Toolbar and hovering over the item in the list (after discovering that "AcceptAllChangesInDoc" doesn't work; so much for consistency...).