While searching for interesting corespun ideas, I tried using up more of the bright pink fiber. The single is from a Shetland fleece that is hairy, so the fine yarn was as well. But hairy is good if you are talking about wrapping something else around it. I let the fiber catch on the core yarn as I was plying it, and then took the whole thing and plied it with itself. That gave a stable, balanced yarn.
My first attempt, on the left, is very pretty but the fluffy soft fiber will shred to bits the moment I attempt to do anything with it. Like skein and measure. Forget washing. The other two yarns are the second attempt, which actually made it into a real yarn. There are some small fluffy bits there too, but there is far less wrapping fiber and it is tightly twisted around the cabled yarn. The core makes it a very strong yarn but the fluffy fibers limit its use for anything that must be washed often.