Anticipation is a rotary tool, best used for pivoting or steering. From an anticipated position, the moment you release your edge engagement from the the prior turn your legs/feet/skis will attempt to quickly twist downhill, to match your downhill facing upper body. It's as though a loaded spring exists within the body's mid section. The moment the edges disengage, the spring is released, and the skis twist downhill. You don't have to try to make it happen, it just does. The solid pole plant simply provides an anchor point to create more rotary force and help power that pivoting.
This is another example of skiing and racing technique misunderstanding. We teach in PMTS that you hold your Counter Acting in transition, Counter is referred to by this person as Anticipation. We also retract the energy from the ski with the legs, and use it to tip our skis to the new edges and cross our Cg over the skis to create a High C engagement, with the least amount of pivot. This is what Hirscher and the other top three slalom skiers try to do.
This explanation isn't world cup skiing or PMTS Blue Level skiing, it's PSIA and TTS teaching and understanding. This is why you see all the needed up movements and late hitting. If you create what he's talking about here, you will be permanently pivoting excessively and trying to catch up to your skis from the back seat. Just like Rogan's skiing an earlier thread.
ALE knows who this is, I was searching the internet for an article I did years ago on alignment and came across a long convoluted discussion about what PMTS is and isn't. Of course except for ALE's points, all the others had no understanding of PMTS and totally misrepresented it.