My bad, I thought I had added that to this post already.
But, no, in order to be eligible the horse must not have any dd x tb blood in its breeding pedigree. The main reason I decided on this is because of how advanced thoroughbreds are in comparison to dws. They would give an unfair advantage, and make this club less of a challenge. Also for the same reason that a horse with a decent percentage of dd x tb blood would not be very typey.