I expect that, with no thrust available, the stick shakers would operate and the pilot would have to (be expected to?) override or disconnect the autopilot to avoid stalling. Initially at least, if left to it's own devices, I think the autoplilot would still attempt to follow the glidepath. Would it attempt to follow the glidepath until it fell out of the sky? I can't find a definite answer at the moment, sorry.
The crew did
not have a switch-pigs whilst airborne - the recorded data would show that. Have you not read any of the AAIB reports?
