Is the office integration of EPiServer supposed to be able to edit a page with Word?
I'm working with an editor who wanted to be able to publish and edit content with word and publishing pages seems to be working fine, but he isn't able to edit. I tried myself and couldn't see what is required to edit.
I don't think so. It seems that you can only publish a new version.
If the target page type has bool property named AllowDocumentUpdate set to true, the office add-in will add information to the document making it possible to update the target page.
The configuration options are described in the Office integration tech note