I think Siri is a first step to provide a dialog in context[1,2](past,present, [prediction]) where prediction is missing from the patent for example, hence first step. As to background processing, I think data isolation is the bigger problem(I would not lump it together).
Android is still focused on dialog as selection only (visual or audio) for user and system, hence the required preciseness in required input.
Means I don’t see any problem for Apple just yet, except for the lack of deep understanding of context. IBM is selling patents to Google and has this deep understanding wonder what’s going on there. Maybe Oracle should watch its back. What would consumerization of ERP imply for example? Google Android OS/HW, IBM [dialog] SW?
From a technical neurological point of view, if calcium is stored (back propagation) in Dendrite what does that do to future calculations[3], besides going from a billion problem to a trillion problem? Something Apple has to think about for their patent[2], otherwise it will be useless.

1. Will Apple put Siri in everything?
http://gigaom.com/apple/will-apple-put-siri-in-everything/

2. Apple introduces us to Siri, the Killer Patent
http://www.patentlyapple.com/patently-apple/2012/01/apple-introduces-us-to-siri-the-killer-patent.html

3. http://en.wikipedia.org/wiki/Nernst_equation