You’ve got some excellent responses as far as the general reputation of the Hancocks.
I want to contribute a few things that might be useful. As far as some of his reputation - Joe Hancock was used by Burnett Ranches (which operated the modern day Four Sixes) to improve their mares – and those mares contributed things like the roan and the big heads and probably the bucking as well. He himself wasn’t roan, but some of his best sons were, ie Red Man and his son Blue Valentine for example. So what got contributed depends on what line of Hancock you have.
The other thing to keep in mind is we’re talking about a stallion who was foaled in 1923 (nearly 100 years ago!!!) So it’s important to keep that in mind, that we are so many generations removed that we have to keep the individual and his or her close bloodlines at more of top-of-mind when evaluating his or her potential, versus just legend.
I actually know several linebred Hancocks doing very well in dressage/western dressage – one has gone to PSG. It’s all about the actual horse in front of us.
My new horse, for example, has the word “Hancock” in his name – but he’s 8 generations removed from Joe Hancock (so I don’t know why they chose to name him that). But when I introduce him to people, they all take half a step back. It is fascinating to me, how strong the reputation is. And, I suppose, he steers toward the tough minded side of the spectrum, and he is big and solid and has bone for days, so maybe he was properly named.
I sure hope he lives up to the rest of that reputation for being hard working and sound. He’s also destined for the dressage ring, the prettiest mover you’d want to see in a stock horse.