Makes sense, and yes, we were talking about different features.
The feature I was talking about is a plugin that we have will post a status update to the user's Facebook timeline when they enter that status into JomSocial. That way, the 'public' status posts are synched between JomSocial and Facebook.
The feature you were talking about was the Open Graph Actions features. Those too post to the user's own Facebook Tiemline/News Feed when a user 'does' something on your site, like reading an article, uploading a photo, or joining a group. The action itself will post regardless of privacy settings, but that doesn't mean that the image would be visible to anyone if they followed the link posted to Facebook. They may just know that the user joined a group named 'xyz' or whatever.
Finally, we don't really have any features right now that post activity to a Facebook Page. That's something we'll be doing later this year, but it's something that we honestly wouldn't recommend for doing what you're looking for. Your Facebook Page is a huge promotional tool and should be curated and managed closely to make sure the viewers of your Page get relevant and useful information. If you just start posting dozens (or hundreds) of things that users are doing on your site with little context, it will likely a) cause you to lose followers and b) have posts on your wall marked as spam when they show up in a followers news ticker/feed, which will hurt your overall exposure on Facebook further.
That's just my thoughts. If you have a developer, you can add the ability to post to a wall pretty easily, but it's not built-in to JFBConnect yet.
Thanks,
Alex