Anders,
Yes, looking at our code, it looks like we're currently limiting to only show posts created by the page (meaning admins) and not other users.
To chane this, update /components/com_jfbconnect/libraries/provider/facebook/channel/page.php around line 40 from:
if(array_key_exists('from', $data) && $data['from']['id'] == $pageId)to
if(array_key_exists('from', $data))
I've also made an issue in our tracker to make this an option in an upcoming release. I'm currently working on cleaning up the Channel creation in the backend for v6.2.4 and this should be able to go in there really easily.
-Melissa