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I'm not sure that the post linked above covers this basic information about the PT results.

The performance test judges how well a horse will train. Generally speaking, the higher the PT score, the more points a horse will add to its show score with training, and the farther up the show levels it will progress before leveling off. In this game, a Perfect Foundation horse, which is 100% consistent, appears to gain 8 points each week with training. They will level off about age 9 when intact and 10 when altered. If they level off somewhere above the very bottom of a class, they will continue to collect show points with every class they enter, and be worth keeping for their addition to your showing bonus. Horses with low PT scores will add fewer points to their show scores with each training and level off sooner. Horses with higher PT scores, especially 11 and above, add more points to their show scores each week. A horse with a PT score of 13.2 (the highest in this game) appears to be adding 12 or 13 points to its show score each week. It's only 5, so we can't tell when it will level off. http://hj2.huntandjump.com/horse.php?horseid=562025

The parents of your filly obviously are better at breeding than at showing, and, as the post above teaches us, a horse's PT score and its breeding ability are not connected. The breeding ability score will, however influence the average PT test scores of the foals.