And all of Mr. Wonderful's genes are probably not good ones anyway. So the great-great grandson may not have inherited very many desirable genes. These may be from rather mediocre to poor individuals in the breed. Third, pedigree selection shouldn't be the major emphasis in choosing a stallion to mate with your mare anyway. The premium money that horses win in equine athletic events and the good sale prices they bring are based on performance, not pedigrees.
Performance records give the best single indication of a stallion's breeding value.
If your want your horse to win in a certain event, seek stallions that have won that event. In addition to being winners, stallions should have competed successfully over more than one show season. They need to be sound and durable over time. Look for consistency. Most championship teams don't win 100 percent of their games.