Definitely get the braided. It can also be used as thread for sewing cloth, leather (the heavy duty stuff is better) and skin and even as cordage or even floss. Monofilament is easier to break and is 3-5 times thicker for the same tensile strength. I'd say for a PSK, this stuff is definitely better than monofillament or fused single strand simply for multiple use + strength / size.
Each hauser wraps a bundle of monofiliments in an abrasion resistant thermally sealed cord and then those are braided. Unlike a sheathed cord of nylon or polyester, the sheath won't "retract" from the end of the monofilament bundle when cut cleanly. So the only problem is worrying about the braid coming undone, which is easily amended with a knot or heated knife. A triple overhand knot should suffice. I don't recall ever using a match or burning twig to seal the end, so I'm not sure if that's a good thing to try or not.... given how thin it is, it might be better just to knot it.
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Experience is a hard teacher because she gives the test first, the lesson afterwards.