I'll start off with a low angle and work my way up when ever I get the chance to actuallydo some testing...
ORIGINAL: Missileman
It is not so much that the plane will veer right or left while you are running along beside it.
What the high AOA will do is cause the plane to leave the ground before it has enough speed for the control surfaces to work. That is considered a stall condition and will cause the plane to roll to the side and crash with no way to stop it.