I've found a way out, however, namely W2XML, a thing that can convert Word documents to XML using a specific stylesheet, most notably DocBook.
So now I can use MS Word to write the doc, then convert it to DocBook. Neat. (Thanks, Mark, for the tip.)
Now the problem is that that converter only uses <section> tags, and not the <sect1>, <sect2>, etc., tags, that we tend to use.
Checking the reference at
it's clear that this should be just as fine. However, using our setup, each section gets the same size header, and the table of contents doesn't work.
Anybody have any idea why that would be and how to fix it?