would have eventually run out of nose up elevator
Sorry for spoiling the discussion with facts from the FDR...
For the first 30 Seconds of the event, nose up eleveator never exceeded 1° nose up. (full would be 30°)
For the first Minute of the event, nose up eleveator never exceeded 5° nose up.
Only when allready in full stall and THS already at almost full nose up, the elevator for the first time was fully deflected nose up (and then left there for around 45 seconds with the THS at the full nose up stop as well by that time).
During the first more than 90 seconds the aircraft never "ran out of nose up elevator", it was using less than 30% of the available elevator deflection. It was perfectly possible to fully stall the aircraft using less than 30% of available elevator deflection, but a lot of THS.