sharpedges, I thought that might be where you were going, with the active/passive thing, but you need to define your usage of the terms. I see nothing that I would consider "passive" in his pre neutral extension. It's not force driven, it's optional, and it's totally intentional. Perhaps your concept of passive is far different from mine.
Once we get that sorted we can discuss the turn shape factor.
Rick, how do you see in the picture whether the extension is passive or active?
For me active means that you use your muscles to extend, in passive the COM is already moving so you extend with very little muscles activity.
Jamt, the terms Passive/Active are the kind of terms that people can tag onto skiing movements with an assortment of meanings. It can get really confusing if the jargon is not accompanied by an explanation of exactly what the user means by it. That's why I requested sharpedges to explain.
Passive/active are not terms I use in association with extension, but if I did here's how I would see it. When you release the Center of Mass from a turn, via ILE or OLR (anyone not familiar with these, feel free to ask), the external forces of the turn will drive the skier's body across his/her skis and into the new turn. The direction those forces try to move the CM is across the skis and slightly down. If a skier does not flex his/her old inside (uphill) leg while the crossing takes place, his/her CM will rise in pendulum fashion as the skis roll from max edge to flat on the snow. I would call that a "passive" rise of the CM.
If, during that crossing process, the old inside leg is instead extended, muscular action is being used to fight gravity and deviate the CM even further out of the across the skis path the external forces want to move it along. I would call that an "active" extension. It's an optional and intentional action that requires muscular involvement and a defined movement to pull off. That is what Ted is doing in the montage.
Either way, regardless of whether one wants to call it passive or active, there is clear extension of Ted's old inside leg before edge angle neutral in the montage. It didn't have to happen. It was optional, a choice he made to do. Alternatively, he could have not extended his old inside leg and all, and simply let his CM pendulum up and over his skis as it crossed, or he could have flexed his old inside leg and let his CM take more of a straight line path of travel across his skis.
The bigger question, beyond whether one wants to call what he did active or passive, is why did he choose to do it the way he did? What was the purpose of extending his old inside leg as he was rolling off edge? What beneficial thing did it do for him?
The trend of late in the world of recreational skiing and teaching is to flex the old inside leg as one rolls off edge, and let the CM take a straight line path of travel across the skis and into the new turn. But World Cup racing is laden with examples of racers using extension of the old inside leg as they transition. There's a reason they do it when they do, and coming to understand the motivation would be a worthwhile study, especially for those currently riding the "always use flexion" bandwagon. The value of extension carries over nicely from the World Cup to the world of recreational skiing.
I don't think it is as simple as that. If you maintain or increase edging/angulation at the end of the turn the body will start vaulting over the outside lge, becuase the gravity component will point more towards the outside of the turn. This increase comes quite rapidly, and will cause the CoM to raise. Even if you release by OLR the CoM will continue upward, and thus the inside leg can be passively extended without using active muscular tension. The important thing here is that the new outside leg should already be extended when the new pressure comes. In the picture the release of the previous turn is missing and therefore I think it is quite difficult to determine wether the leg is actively or passivly extended.
Heluvas video above contains a lot of examples where he uses OLR but has passivly extended legs in transition. It's a great feeling when you time it correctly.
I'd also like to point out that if you have the hip very close to the ground it is not possible to use active ILE, because it will put you in the backseat.
The important factor is how high you let the CoM become between the turns, and the strategy varies between racers. In the same turn you can see some racers be very low, while some have fully extended legs.
I don't have the full answer but some of the pros are:
LoW CM: Quicker and easier to time the entry of the next turn. Less wind resistance. Works great together with high degrees of angulation.
High CM: Less streneous on the legs if the gate distance is long, but only if the distance is long. Potentially a lot of pressure in the next turn since you have a lot of CM energy to drop into the turn.