When any mass collapses it starts to rotate faster. It's like sitting on a spinning chair with your arms stretched out, and then bringing them into your chest. You can spin fast enough to make yourself dizzy. When a cloud gas collapses into a star it starts to spin faster as well. This is why it can flatten into a disk like a pizza thrown into the air. However as the protostar ages various forces act to slow down the spin of the star until it is rotating about once every 1-10 days. This means that the fast rotating Herbig star you saw a only recently formed, and hadn't been slowed down by differential rotation, magnetic field windings, or disk locking.
Similar braking forces act to slow the rotation of main sequence stars over their lifetimes. Halfway through its life, our own sun rotates once every 24 days. The final stage of white dwarf represents another collapse so you would think it would speed up again, however much of the spin is lost to interactions with gas that is expelled after the star dies. If the white dwarf gets a accretion disk from a companion star star then it can spin up again.
Now, when a star collapses into a neutron star, or black hole the change is so sudden and complete that it retains it's angular momentum and spins up very rapidly. If the neutron star has a strong magnetic field, then it becomes a pulsar, with a rapidly rotating magnetic field. Over time, the pulsar will slow down as well however. I am not sure if a magnetic field of a black hole can interact with an accretion disk to slow the rotation. But since black holes eventually evaporate due to hawking radiation, then the process of collapse is effectively reversed and they too will slow their rotation as the central mass inside the event horizon shrinks and the volume of the total mass expands.
