I can however see lots of application in various pattern analysis techniques based on machine learning. There's lots of places in those that a bit of fuzz won't really matter, at least for first pass filtering.

Similarly voice recognition would probably have to deal with far larger errors from the transmission and capture of sound anyway.

Just because it's not good for decryption, doesn't mean it isn't good for the overall set of NSA operations.

For floating point operations sure, but if I understand it correctly it could also provide a speed advantage to other operations. It means 1% of the operations will be wrong, but what does that matter when it allows you to search 10,000 more keys. Perhaps you could get even more speed up with specialized hardware for decryption, and then buy rooms full of them.