I have a 19 y.o. Thoroughbred gelding who has been my dressage horse and is a grandson of Ack Ack (x Violado - who was a strip quality stallion). Violado won the Louisiana Derby over Creme Fraiche (Belmont winner) and was also an allowance winner in England. I took care of him, handled him to breed and galloped him, what a lovely horse he was inside and out! My gelding is a lovely classic TB with a ton of suspension in his trot, so I LOVE the Ack Ack line!
The horse you asked about has a several crosses to Turn To as well as Double Jay, Hoist the Flag and another Man 'o War line as well as Speak John, and Buckpasser, so I'd say the pedigree indicates jumping should not be a problem. Post a photo. The Ack Ack and Buckpassers are lookers!
I don't have a pic of her but he said the filly is truly lovely to look at, but had a poor jump - which is how we got into the debate.