The Invite module let's anyone who's logged into Facebook invite their friends, regardless of whether they're logged into your site. There's some minor updates coming to the Invite module, which will improve some of the flow shortly, because now, there are times when the user has to be logged into your site.. just so you know.
As for improvements, our feature matrix at the link below should describe the benefits best. Also, check out our reviews on the JED, of which many talk about how they like our system over JomSocial's. In general though, here's some key points:
* 1-click registration (no registration forms), if you want to enable that
* Post to Facebook wall on registration or login
* Customizeable profile import into JomSocial - you can select fields from Facebook that will be 'mapped' to a user's profile, so they don't have to fill out bio, interests, location, etc
* More social modules (Comments, Like, Activity Stream, Invite)
* It works
Feature comparison of JFBConnect to other Facebook extensions:
sourcecoast.com/jfbconnect/joomla-facebook-feature-matrix
JED listing:
extensions.joomla.org/extensions/social-...ook-integration/7215
Hope this helps, and good luck!