Wow...most of me is saying, "stay out of this conversation," but I'm going to jump in anyway.
There are certainly many different ways--techniques and tactics--to ski moguls. The first point I want to make is that it's somewhat misleading to describe only one of them as "technical," and even moreso to describe something as "the technical line" (since line refers to tactics, not technique, and any line demands technique). I suspect, Nailbender, that your choice of the words "technical line" to single out one technique and tactic above others is what grates on a few people here.
That said, I agree 100% with the gist of Nailbender's arguments. The main difference in techniques (both in and out of bumps) can be described simply as 1) skis go the direction they're pointed, with speed control coming from line ("turn shape") or 2) skis pivot and skid sideways, controlling speed directly through skidding or impacting the bumps. "1" describes speed control from tactics; "2" describes speed control from technique. "1" describes using technique to control line (direction), "2" describes using technique to control speed. "1" is the essence of what I've long described as "skiing the slow line fast," while "2" defines skiing the "fast line slow." Both are techniques, but one ("1") is offensive (control line), while the other ("2") is defensive (control speed). (And that is true regardless of the actual speed a skier chooses to carry--there are only two ways to control speed, "slow line fast" and "fast line slow," or "direction"  and "friction" . You can ski as fast--or as slowly--as you want with either option. Offensive vs. Defensive is not at all the same as aggressive vs. timid!)
And the so-called "zipperline" can be skied either way--as various World Cup mogul skiers demonstrate. I agree entirely with Nailbender that Dale Begg-Smith is a shining example of #2--the pivot/skid technique, clearly seen in the slow-motion clip Nailbender linked to in post #39 of this thread. Yes, I am aware that the FIS rules require "carving turns," but to define carving as "efficient use of edging to control speed" is a bit creative, to say the least (and it's a stretch as well to describe straight fall-line skiing as "turning" in the first place). By contrast, I offer here a couple clips that I've posted before, of the pretty-much-undisputed fastest mogul skier in the world--reigning World Champion Patrick Deneen, training at Mt. Hood:
World Champion Patrick Deneen, testing the new Hart F17 World Cup mogul ski at Mt. Hood
Clearly, both Patrick Deneen and Dale Begg-Smith ski fast, and ski well, and both ski the fall-line/zipperline. Yet they show markedly different techniques and tactics in these clips. Deneen's skis clearly go the direction they're pointing much more than Begg-Smith's skis, which pivot and skid sideways most of the time (albeit "controlling speed with efficient use of edging...."). Look in particular at the second clip, which shows a rare glimpse of Deneen skiing slowly as he warms up for a day of training. Here, he demonstrates a much more rounded line, while still keeping his skis going the direction they're pointed--a great demonstration of "slow line fast," rather than braking. It's beautiful skiing, in my opinion!
It is worth noting that even the fastest and most habitually offensive skiers (ie. Deneen) will revert to defensive technique (pivoting and braking) when necessary--or when speed gets truly out of hand. All offensive skiers know how to brake, even if they prefer not to unless necessary. But--and here's the crux, and where I agree again with Nailbender--not all defensive skiers can ski offensively. Offensive skiing (feet going the direction they're pointing as much and as often as possible), I have long maintained, is the signature of technically excellent skiers in all disciplines and conditions, everywhere. It is far more technically demanding even as--at least at "human" speeds--it is less athletically demanding, less fatiguing, and less pounding on the body.
It's also worth noting that Patrick Deneen himself acknowledges the difference, and works very hard to ski moguls with a markedly different technique and tactics than that of many of his competitors--a technique built heavily upon his early development as an alpine racer. And it's why he is the fastest in the world. It is this "edging controls direction/line" technical racing background that, in many ways, justifies Nailbender's description of the "technical line" to differentiate Deneen's (and a few others') skiing from the more skidded "edging controls speed" technique of most top bump competitors. It also allows Deneen to moderate his speed as needed with subtle adjustments of line (at least, the line his feet travel--even as his body remains directly on the fall line).
In a dramatic demonstration of the difference, I recall hearing another bump coach advising an athlete who repeatedly let speed get out of hand to "dump some speed with a hard edge check"--advice that made Patrick and his father/coach just roll their eyes and grin. Really, that's about all you can do with a pivot/check technique. It yields far fewer options than the offensive "gliding" technique of Deneen and others.
And the difference becomes even more pronounced in non-competitive skiing in "natural" bump terrain. By definition, the offensive gliding "technical" technique is about controlling line with technique, allowing the skier to use line and tactics to control speed, rather than braking. By definition, this strategy gives considerably more control of line, giving skiers the ability NOT to stay in the fall line/zipperline if they choose--to vary turn shape and size and ski any line, anywhere, any time. It's not a big deal in the very regular zipperline of a competition course, where the bumps are literally laid out with a tape measure, and where veering off the fall line will lose the competition. But it's a huge asset in "regular" skiing, where great bump skiers are free to express themselves with any line they choose, where the zipperline is only a choice, not a requirement.
To put a blunter point on it, skiers who develop only the pivot/skid/brake bump technique are nearly locked in the fall line--since their technique is really, by definition, intended to control speed, not direction. They are the ones who tend to get upset when someone gets "in their line"--because, unlike "technical" skiers, they have only limited ability to choose a different line.
Well, I'm heading up to Arapahoe Basin now. Argue away. Nailbender--keep up the good fight!