I'm working in an apple authorized dealer/repair center, a rather small store with total 2 workers, meaning I do 80% of the repairing and stuff. I can tell you Apple store always send us repairs they couldn't handle. So you see, not all the warranty works have to be done in THE Apple store, and it's not necessary to think no one else should fix apple computers. I believe fake genesis in these fake apple stores could do a better job, there is nothing special about Apple computers.
Anyways, if these stores are not authorized, they can't sell in volume. what apple would do(if apple is willing to, or it can be done) is to find their supplier and shut them down. you know Newegg used to sell Apple computers, but they weren't authorized back then(they are still not authorized now but they're not selling any apple computers anymore.), until Apple shutdown their supplier's resell license. the reasons behind it are unknown. maybe 200+thousand/month sales is too much for apple?
The real reason these fake apple stores are shut down is in my opinions an act of local government licking "the western media"'s ass. The only thing these store weren't supposed to do is to put up the big apple logo, but this is very common in China, and international companies (samsung, LG, Toshiba, you name it) knew and (kind of) allow this. the local government must've thought "there are a few stores that copied the Apple store, and the whole world know it's here in our city, this is an embarrassment!". and they went and close these stores.