I had a similar problem.
Years ago when I became aware of the paracord craze I bought some on-line to find out what all the fuss was about.
I used it quite a lot: tied and untied many knots, both in the hand and on objects inside and outside. It was only a few weeks before the casing started flaking off in my hands; very fine particles, like dust.
I wasn't using it on anything abrasive, and I've used good quality braided synthetic cord much more than that without any unreasonable deterioration. In fact the cordage I use the most is now stained by the body oils from my hands (sorry, gross) and has become soft and pliant without in the least shedding any bits.
By contrast, some braided synthetic cord I got with a gazebo started shedding very quickly. I wasn't using it for the gazebo (ratchet straps were safer in a windy spot), but when I used it in the same ways as I used the good stuff, it deteriorated very quickly.
I've since become aware of the damage micro-plastic does in the environment, so I treat both the paracord and the gazebo cord as single-use disposable now, but not for outside. For instance I would use them to tie a bag of rubbish that's destined for a landfill, or in some test of a knot to see how easy it is to untie after a heavy load.
I believe that in the US there are military standards for paracord, and that stuff is probably a completely different story, but since it would be difficult for me to establish whether I'm getting the good stuff or knock-off junk, I don't anticipate buying paracord again in the foreseeable future.