If my reading of that statute is right (I'd give that about even odds - but feel free to read it for yourself), even a competent streamer would have had to do the takedown. The statute does not say how quickly the takedown has to be, it merely says "acts expeditiously". So any competent provider will have an automated procedure, and once that procedure is triggered, that's it unless the copyright holder takes it back, or 10 days passes.
I just love the irony that it is Neil Gaiman who it happened to. He has long been a vocal proponent of copyright maximalism, and his positions on this are sufficiently extreme that I refuse to ever again buy anything that he has written.
Update: I've left the last paragraph untouched, but I decided to look for Neil Gaiman in his own words on copyright. And I ran across http://www.youtube.com/watch?v=0Qkyt1wXNlI which demonstrates that I'm remembering his "grumpy" period but he's since been educated that "online piracy" is not so bad.
I'm glad I found this out. I'll have to start buying his books again. (Yet another example of how I can form an opinion, and hold it for years after the facts behind that opinion stopped being true. If I didn't do this kind of follow-up research, I would have never known.)
Could they have used a different streamer? Sure. Would this have still happened? Probably not but who knows. Does this represent a trend in copyright enforcement? Yep.
Every time you hear a song on the radio you should remember: this was brought to you by people who also happily destroy everything good in this world, everything worthy.
if it's the case for you that every time you hear a song on the radio you are reminded of the excesses of the intellectual property patrol, I humbly suggest changing the channel to your local non-commercial station. perhaps you'll hear something you like.
(Not everywhere in the world you can find something sufficiently independent, but you are guaranteed to find "intellectual property" there)
This is because the development process stimulates features and automation and such a backoffice has to touch every system while bypassing many checks. It's a perrenial pain in the ass.
So I expect a lot of companies and processes to lack "Plan B" entirely.
There are a lot of streaming providers that want your business. Choose better next time.