Facebook's alert message is incorrect. If your app uses *any* permissions, Facebook is sending the same generic message to everyone. It's annoying because it adds a lot of confusion to the matter. You only need to go through the app review process for the fields that JFBConnect actually requests (as shown in the App Review section).
From everything Facebook has communicated, you will not lose all access to your Facebook application if you don't go through the approval process. The only thing that may happen is that you will lose access to the specific permissions that haven't been approved. By default, you can request basic profile information (name, email, etc) from users without going through the approval process.
I hope that helps explain,
Alex