Hmmm...maybe the My Red Socks guy who's been posting here could elaborate. But i have a couple of pairs, and they certainly feel like pure wool - not hard like the Marciolanis. Anyway, I hope I can be corrected - I just took "reinforced" to mean extra stitching.
Falke have great socks. The problem is they only ship to certain countries, only through those countries' specific websites, and otherwise just refer you to a stockist in a neighbouring country. If you're in the EU great, otherwise it's difficult. I exchanged a few emails with them on this but they haven't added any other shipping options that I can see.
Thank you for your question. Gammarelli socks are indeed made of 100% wool. We will change the description to make it clearer. Thank You and well done to Mimo for his insight !