I would have to go back and look but the "coiled wire" probably still on the books, or at least added to lectures as repeated oral history. I know even military fiction sometimes references "wire" fragments from a grenade.
M67
This older M26 "Lemon" grenade might be the source of the wire wrapped myth. They were adopted in the 1950's but I have never used one, they have been replaced in CDN service by the C13 (M67) entirely.
I do have a 40mm HELV (M203) cutaway, I should share a photo of it, the fragmentation material in that is about the size of #7 Birdshot, which we know is not a terribly fatal projectile on humans.