The article says verbatim "Don’t include a link to your GitHub link if it’s empty." yet you're giving 1000x (your words) credence to an empty profile versus someone working privately. Private contributions show up on the graph, you just can't see the content of the commit. So it's not empty and to your point it can be articulated. Sounds like you just want to see some examples of work, just ask for that, but that's not a resume.
“A commit graph and nothing else” is approximately equivalent to empty as far as I am concerned. If I clicked such a link on a resume, I’d say “wtf am I supposed to be looking at here?” If your repos are private, just tell me they’re private.
It is well known that many engineers can’t share their work. It isn’t a requirement. But if you do share your GitHub, make sure it adds value to your resume and doesn’t detract from it.