That's Trinity, she's an English angora. She's got about three month's worth of wool on her. She's not really been brushed or groomed much prior to her coat harvest since she's got a pretty maintenance free coat. She is not a typical English angora in that respect, though, most of them will get a few mats on them here and there unless they get an occasional grooming. The buns here are a fiber herd, not a show bunny herd. They get their wool harvested, then they don't need any grooming for two or two and a half months. Three months after a haircut, they could use a bit of combing in spots but not usually too much. By four months, it's time for another haircut. If you're keeping them as show bunnies, then you need to do every other day if not daily grooming. For a show coat, you don't comb it, you blow it out with a blower or a vacuum on reverse. Combing removes too much wool.
If Trinity was to be a show bunny, then this would just be the beginnings of her coat and she'd not get a haircut for six to nine months.
When the coat is ready to come off, it can be combed off with a steel toothed comb. Trin doesn't mind, especially if she's bribed with something tasty while she's getting combed. The light gray fiber is the coat that she is shedding, the darker fiber below is the new coat growing in.
In the upper right corner of the picture, you can see the little embroidery snips which are great for trimming the wool off the bunny.
The best spinnable fiber is from the back of the bunny. In this picture most of the good stuff has been combed off, but there's still some left on the sides. I call this the Hula Bun stage, since it looks like she's wearing a hula skirt.
Well, there's your tortured screaming bunny that had all the wool removed. In this particular instance, most of the wool was combed off. Sometimes we clip them with either the little embroidery snips - which look like old fashioned sheep shears except they are bunny sized. Or we occasionally use a pair of horse clippers with a very fine blade.
Although we're not a large scale commercial operation, here's a video of how they do it in China:
Commercial Angora clipping in China
Other than holding them by the scruff and restraining them by the ears while clipping ( which is a bit on the rude side although I don't think it's painful to them) I don't see any injury to the rabbits. No screaming, no restraints (other than fairly gently holding them with their hands), no excess snipping off of bunny parts, etc. When growing rabbits for commercial wool production, you don't want to do anything which will hurt the rabbit since that decreases the wool production. The Chinese produce about 80% of the world's angora fiber and most of the bunnies they use are a large white commercial strain which is fairly specific to China. I forget if their rabbits were bred from the Giants or Germans?
As far as having angoras for a meat herd, IMHO, you'd do better to have a few angoras as fiber producers and keep meat bunnies as meat producers. Angoras don't grow out fast enough to still be as tender as you'd probably prefer by the time they get big enough to eat. Although, I've only had the smaller English angoras, not sure if the larger German, Giants or Chinese angoras would work as a dual purpose bunny. An angora litter is typically about half the size of a meat bunny litter, too.
The length of angora wool is a double recessive so crossbred to a meat bunny won't have the long wool. Even crossbreeding different angoras together isn't such a good idea since each of the different breeds has a different type of coat.