Membership: Showing Protected Posts in Post Archive

I have a set of protected posts (protected using individual posts add-on). I need to display the post archive of these posts. In my case, I'm using the Divi theme's blog module, but the same issue applies to the wordpress post archive for the category of these posts.

I expect the posts to appear in the archive loop, with a registration link if non-members try to view them. Instead, when I load up the post archive, I get `No Results Found
The page you requested could not be found. Try refining your search, or use the navigation above to locate the post.`

There's a special added feature to this support ticket, the posts are video format posts. Playing the videos back via the thumbnails in the archive should only be possible for members