The best players that I have watched making those type turns were Naslund and Kurri. Both of them widen their stance and drop their top hand down below their hips - with or without the puck. You can release quicker and you can certainly receive the puck more cleanly when you do so. I was never a big fan of crossing the top hand over, those guys always seemed easy to pressure and easy to body off the puck.
I am in a hotel room in Coeur D'Alene, Idaho. We were going to stay in Glacier National Park but it was raining so bad that we drove all the way here and are staying an extra day.
I think that the hands crossed over on a tight turn was taught by almost everyone for about 20 years. I know I personally never held my stick like that but I taught it. I no longer teach to cross over but to lower the bottom hand while the top hand is near your back pocket. This way you are in a power position, i.e. the triple threat position to carry, pass or shoot.
Crossing the hands is great for going around pylons but not practical in game situations.
'Enjoy the Game'