Phil,
I'm assuming a controlled DDW gybe without quartering seas. The point here is that the acceleration of the boat depowers the main, and that's the moment to gybe. A broach is a whole 'nother matter, especially on older IOR era "broach coach" designs with pinched sterns and unbalanced rudders. But more modern designs, where the beam is carried aft, tend to stabilize as they approach hull speed and the stern squats. This makes the point of acceleration an ideal time to gybe.
I'm assuming a controlled DDW gybe without quartering seas. The point here is that the acceleration of the boat depowers the main, and that's the moment to gybe. A broach is a whole 'nother matter, especially on older IOR era "broach coach" designs with pinched sterns and unbalanced rudders. But more modern designs, where the beam is carried aft, tend to stabilize as they approach hull speed and the stern squats. This makes the point of acceleration an ideal time to gybe.