The nanodegree will never be the deciding factor when I consider granting an interview. At best it's a minor positive signal, but I'd certainly never consider it a negative signal. I know people who do and I think they're gatekeeping.

If the mention of the nanodegree fits into a broader narrative corroborated by other parts of the resume that this person is a self-learner, then I consider it favorably. I think the way I would describe it is that the nanodegree says this person "tried," but I need to see separate evidence that this person internalized the material.