I would be very interested in seeing the the iPhone charges while "anethitized". I severely doubt data would be accessible via standard channels, but as this kills the general clock I am assuming it should prevent any sort of lock protection mechanisms from kicking in indefinitely.
Not sure how you would get it going again and / or how necessary that would be. Perhaps heating it to excite the helium trapped in the oscillator and hoping it bounces out.
Could end up being a pretty easy go to law enforcement trick. Put a phone and a helium balloon in a ziplock bag, pop the balloon, pause the phone, deal with it later