If you have a close look at the images of the American 767 that Kingair9 linked to, one of them shows how far into the flight deck there was penetration on the Captain's side. A higher speed and a bigger bird could have possibly restricted the control column. While the controls can be split, with enough interference it might not matter whether you still had power or not.
I am a believer in reducing the odds by doing 250 KIAS or less below 10,000, especialy in active bird areas.