Heart of Stone (Das kalte Herz) - The original German fairy tale

I was just wondering while looking around the forum, there were tons of discussions about HoS being influenced by Pan Twardowski or Faust. What I didn't find is anyone mentioning the German fairy tale by Wilhelm Hauff that is literally called Heart of Stone (Das kalte Herz/the cold heart if translated directly) that is about a guy who gets his heart replaced by a stone for 3 wishes. One of the magical creatures is even called the man of glass

https://en.wikipedia.org/wiki/Heart_of_Stone_(German_fairy_tale)