I wonder if the issue is partly around how deep modern players take the back and across movement?
Ponting always used to press forward and he always said he was so good on the short ball because his weight was forward so he could take it back easily, and he felt the English players, who tended to go back and across, were stuck with weight back and had nowhere to go if it was short.
I vaguely remember Ian Chappell used to go back and across but I have a feeling he used to then press forward as well didn't he?
Hayden, Martyn, Gilchrist and Hussey all had degress of forward press, Martyn , both Waugh's back and across but didn't hook or pull.
Chappelli had the most exaggerated back and across. He was a great hooker and puller. So was Bradman, who also went back and across. Ditto Smith and Marnus.
Ponting had a press forward but the actual movement was minimal. Viv had a tiny step back and across combined with a forward press. Both great hookers and pullers. Lara too. One thing you notice with all three is how much of their stumps you can see as the ball is bowled, whereas a lot of modern players are standing right in front of the wicket when the ball is released. The issue might be how far modern players want to get across to the off before the ball is even bowled.
I'm not sure any one method is the be-all and end-all, I agree with Chappelli that's it's all about intent: if you're a hooker you have that movement to get inside the line and means you can avoid the ball relatively easily.
No matter your trigger movement or even if you don't have one, the key is to be balanced on the balls of your feet when the ball is delivered. Looking closer at Pucovski, his front foot is sometimes in the air as the bowler releases, then he plants it and it doesn't move. The video I posted where he gets hit, he's already standing in front of off-stump when the ball is let go. A great bouncer is directed over off stump. Players like the Waughs, who preferred to stay legside of the short stuff, could sway out of the way. Ponting and Viv could too, because they weren't already over there.
Once Pucovski sees that short one coming right at him, his feet don't move. He starts to duck then waves his bat at it as he goes to one knee. Despite his feet being outside off he never gets his head inside the line.
I'm no coach but I'd suggest he stops walking across his stumps so far. I know the legside has fewer fielders and therefore more scoring opportunities but he has a 360-degree game so it's not a big issue. It would also alleviate his LBW problem and he could keep his head out of harm's way. Shelve the hook shot, sway like Mark Waugh and use the uppercut to score off the short stuff.