For example, I can use vault and the ruin that grants me 60% extra move speed for 2 seconds. Even though I have met the equipment movement speed cap it still works.
Hot Pursuit does nothing when you have met the equipment movement speed cap.
Equipping Hot pursuit is a huge trade off because it only works when hatred is full, seems like it should be working. Not being able to used skills that cost hatred to run 15% faster is a huge sacrifice. That is pretty much all of the DH strongest attacks.