I'm not a tele skier but I am curious about how this translates to alpine skiing. Assuming the radius of any ski is far greater than any turn radius we are willing to wait for the ski needs to be flexed smaller than the natural radius and I don't understand how that is accomplished with a free heel.
As an example I'm on a quick turning 13 meter slalom ski. Using the radius of the ski, a full 180* turn would take 26 meters or 85 feet. Popular fat skis and likely tele skis as well have a larger radius therefore the minimum natural turn is north of 100 feet. Most alpine skiers want at least 3 times more turns in that same 100 feet so we're forced to flex the ski smaller than it's natural radius. The only way I know to flex that ski is with forward lean but with a free heel, how can that even happen?
Well, bending skis is a long confusing subject when bring tele into it. Here is some short answers.
First, you will flex your ski "some" ( decamber ) with weight alone, if the snow is soft, where tele shines, you can get more flex than ice.
Secondly, with modern plastic tele boots you can drive pressure down through the cuff, not exactly the same way you would with Alpine locked heel; you have to get your weight over the tongue of the boot and deep flex the ankle to drive your weight down through the boot. It doesn't pressure the fore body of the ski as much as an alpine, but you can carve.
Third, if your talking carving, once the skis are tipped and centrifugal forces are in play, the skis will bend regardless.
All this assumes one is carving on tele skis, which can be done, but most tele skiers just skid around, or wash out the bottom half of a carved turn anyway.
As far as parallel turns on tele gear improving your alpine, it is more about understanding your balance, pressure and finesse at the beginning and throughout the turn than it is about shortening up the ski radius. When you don't have that locked heel to lean on you need to make all the subtle adjustments yourself. Once you get it, then go back to alpine, you rip like no tomorrow. There was a story that circulated around back in the 90s of some alpine race coach making his team ski in leather boots and free heel bindings so the team could understand the subtle movements needed to make the ski react without the aid of a stiff boot and locked heel. Don't know if it was true, but made a good story.