I love this description, and that of
@François Pugh also!
I'd add a variation on
@LiquidFeet's option 3, which I've kinda stolen from my experience on hardboot (Alpine) snowboards: I think of it as "Drop and Dive". It's related to the snowboarder's "cross-under" technique but it's more active. What it does is eliminate the need for big rebound to start the turn, by simulating the effect of that rebound.
Basically, at the turn initiation you actively
drop the whole body toward the snow and immediately
launch yourself towards the inside of the new turn with as much extension as you can manage without falling face-first.
The drop happens automatically if you're getting rebound because of the compression that rebound causes, but drop and dive works even coming out of a traverse. It'll look and feel a lot like a boarder dropping into a halfpipe or like the so-called "eurocarve" snowboard move. It's exhilarating because it starts the carve WAY before the fall-line and it's pretty secure too. Requires decent core strength to drop with enough vigor but I'm 67 and it's my favorite turn on both slalom skis as well as on 21m GS cheaters, as well as when freeriding on snowboards. You do have to eliminate any shuffle you've established during the finish of the previous turn as you drop so that you don't get trapped on your inside ski.
On any carving snowboard it'll work more or less automatically but it works just as well on skis if the speed is appropriate - slalom skis will hook up at extremely low speeds for instance because the edge angle is established so fast.