In book publishing, we go back and forth all the time. Word is a more powerful word processor. We make revisions in Word, assign styles. We 'pour' the files into PM, and on a good day, our more elaborate Styles in the style sheet (with the same names) hold, and the document only needs a little tweaking. It is mostly formatted. At the end of the job, we extract the text back out for clients to make revisions on. They don't mess around in PM at all. It really works, and is not a bad thing, especially when laying out hundreds of pages.
If you have Styles in PM, which I should hope you do, make a template in Word. You can even make a macro for stuff you want to clean up (margins, remove extra spaces etc.) When you extract your RTF, open it in Word. Apply your template and run your macro. Good time to check spelling, too. Add page breaks. It should not take much time, and your Word documents will be clear, if not as pretty. If they want a fancy layout, they will need to learn PM. But for handling content and maintaining hierarchy in headings, etc. Word is fine.