I'll answer some frequently asked questions about this.
Angoras have been bred for hundreds of years for their temperament. These rabbits require so much grooming, they need to be able to tolerate and even enjoy it. Spinning directly off of them isn't much different than brushing, or gently plucking.
I don't do this for long stretches, about two to five minutes at a time. This isn't a very efficient method, I spin right off of them to demonstrate it doesn't bother them to give up their fiber. It's all about education.
I gently pluck the fiber before the twist goes into it, so their skin is never twisted or yanked on. The wool is released from the skin very easily when they are molting.
I've spun off of about eight angora rabbits, they all tend to just chill out. This one in the video is Petunia.