Hello Leo,
If we understood your requirement correctly, you would like to display Media Gallery Widget that renders four different sets of media, each set depending on the privacy level set by the user. This widget will only be visible to logged in users.
We are already looking into a creating widgets that can display media with different privacy levels. However, we are not currently aware of any way that this can be done with shortcode alone.
I have notified our developer team about this ticket. They will notify you if we make any progress on this enhancement.
Let us know if we understood your requirement correctly.
Regards,
Joel Abreo