A full size wool scarf cannot go thorough a ring. You are probably thinking of a silk scarf. I have a wool scarf next to me from Kashmir and it went down about 25 cm. The full scarf is a bit over a meter.

Looked up Pucci - looks like a designer that makes silk scarves. Silk is a totally different material. The Luddites were wool and cotton weavers.

Making wool thin enough for a meter long scarf to go thorough a ring requires the individual strand of wool to be very thin. Both making it thin and weaving that thin strand is the craft that was lost. Go look at wool yarn next time you are at a store and see how thin they can get it.

As for "Are they better?" Yes. Thinner wool is incredible, soft. High quality merino wool is one of the most expensive fabrics. Look up this brand "Made in Rosia Montana" if you are curious. It's not like what the Luddites made, but its as good as it gets in the modern world. Getting stuff from the Kashmir region is difficult - I got mine because I knew someone who ran a school in the area. Most "Cashmere" stuff in department stores is fake/chemically processed for fake softness which makes it nice but it doesn't last. Real quality wool lasts a lifetime. The chemically processed stuff is ok if you want to see how it "feels"

EDIT: also, wool is naturally waterproof! I can walk in the rain with my scarf from kashmir on my head, its pretty thin but absolutely no water goes through even in heavy rain. it has to do with the springiness of the fibers and its natural oils. I will stop nerding out on fibers now!!