A stall in an aircraft with a stick shaker would normally be associated with jet aircraft. Two indicators in the aircraft would show the onset of an impending stall, the first and most important is the AOA, or angle of attack indicator, and this is the foremost used tool in determining the aircrafts possibility of a stall. The second is the stick shaker along with a warning buzzer and light that would indicate a stall is immanent. Anyone who has flown an aircraft would also noticed the "sloppy" control surface response prior to any indication or warning of a stall.
I think when htc put the shaking screen in it was as a result to simulate the sloppy control feel.......or give a prior warning to the immanent stall.