If you add the path http://your-blog.com/?request=logout
to the ‘logout redirect’ setting in Discourse logging out from Discourse will log you out from WordPress. I’ll add that to the documentation.
Yes, that’s the way it works. But to me it seems that logging out of WordPress should also log you out of Discourse.
Can you check that out some more? Is there a plugin that you are using for this? I’d like to try it out.
This should only be the case if the setting ‘Redirect Without Login’ is enabled on WordPress. Otherwise, you should be logged in automatically.