Cannot get the Custom Header Links to display?

I do have those, yes. Themes → Default → Theme is enabled by default
Setup is virtually plain-vanilla, it’s a test-lab.
It appears as if CHL had no effect on my setup, preview or non-logged user, no header at all.
non-logged-in user → sign up & login only,
logged-in user only only three icons: chat, search, user.
version is 3.0.6