Sorry! So easy to make things that can be read other than as intended when writing in a hurry.
The apparently-smaller wire is nearly certainly an uninsulated wire (spattered enough with paint and such that we don't reliably see the copper as different from the other insulated wires; but it's thinner because of the lack of insulation).
An uninsulated wire is, in house wiring, always a ground wire.
Thanks...I skimmed the sentence and read it as "...diagnostic of being a ground-in-house wire" and was thinking there was a whole new type of wire that I didn't know about.
I have those uninsulated copper ground wires in most all of my boxes in the older part of my house, and a few with aluminum ground ground wires.
I'm so much happier to have knob and tube but no aluminum anywhere!!!!!
(Yeah, I could immediately see how you read it from your question, and it's not an unreasonable reading. Glad I found another way to put it that cleared things up!)