This is always an interesting subject - and one I can relate to big time.
Being strong as an ox will only get you so far unless you can figure out how to harness your output in a productive manner. This is especially true with ZO when you put a gorilla like me on the end of the line. The harder you load up ZO, the better skier you have to be in order to handle the additional speed you will encounter at the ball. Learning to be powerful in your technique, body position and timing will trump any deadlift strength.
No doubt an increase in overall strength will help ensure consistency, control, and longevity - AND recovery (in case of bad crashes). But as @Twhisper mentions, there's no replacing continual focus on your technique - in whatever form that may take.
The biggest gains I have realized in this sport have 100% come from major changes in understanding the dynamics of the sport, and evolving a different philosophy overall. The simple act of physically emulating other top skiers is highly beneficial - and I think will get most skiers through 35off. To MASTER 38 and beyond is another level of commitment of time, study, focus, and energy.
What I find cool though is the deeper you get in to this sport, the more there is to learn. It never stops!