Capabilities: edit_private_posts

I would like to define a role where the user can read and edit private posts, but not regular posts. I set up the role via User Role Editor.

However, when the user visits the site, they can’t see the Posts submenu in the administrative menu (on the left-hand side of the page).

It occurs to me that maybe the problem is that edit_private_posts requires edit_posts. In other words, it’s an additional capability, not a separate one.

Is that the case? Or am I doing something else wrong?

– Mark