JT to answer your post ref the 744. At maximum take-off weights (395 ton or above) any early turn on the SID can be very speed critical, especially if cleaning up from flap 1 to Up. (The yellow and red bricks almost coming together). Throw in turbulence, some care is required especially if hand flying. For this reason it's standard procedure to manoeuvre with flap 5 or at least 1 until pointing in the right direction. As to the original question you should never, in my opinion trip a stall warning/stick shaker on a GA. Something wrong with the pitch or speed there.