I see where we disagree now. We don't disagree on much. We both think that transitions are overvalued. You feel that the omnipresence of transitions helping GOE is wrong. I feel that the presence of a component score for transitions is too much.
And as a third point of view I think that transitions should be valued in both places if and only if they contribute positively in both places.
If the difficult entry or exit from an element, or direct connection between two elements, adds to the difficulty or quality of the element, then I want to see it rewarded in the GOE. If the element has problems that need to be penalized with negative GOE, then the presence of an extra transitional move before or after shouldn't outweigh the necessary GOE reduction -- at best it could be a deciding factor if a judge feels the element was borderline between, say, -1 and -2.
But in general, I want to see programs full of interesting skating in between the elements, not just crossovers-jump-crossovers-jump-crossovers-spin, etc. The Transitions component is a place to reward/encourage appropriate content between the elements and to reward difficult and/or well-executed "elements" that aren't part of the scale of values (e.g., non-listed jumps, spread eagles, etc.).
Just considering transitions under Skating Skills won't do it because there are some skaters (Plushenko and Phaneuf come to mind) who show high quality in their crossovers and should be rewarded for that but who really don't do very much else besides crossovers between the elements.
However, just throwing in a bunch of extra stuff without purpose and without quality should be penalized under Choreography if indeed it leads to ineffective choreography.
We both think that carriage is undervalued relative to transitions. I'd like to see more explicit valuing of carriage in interpretation and execution.
I'm not sure how carriage fits in to interpretation. Can you explain what you mean there?
I do think carriage is also rewarded in several places. Poor carriage (breaking at the waist, "pumping," etc.) while stroking would reduce the Skating Skills score. Good carriage and extension on jump landings can increase the GOE (or the opposite for bent-over landings). Strong positions in spins and spirals can increase the GOE (or the opposite). And of course it's a major criterion in the Performance/Execution criterion.
The exact formula for how much it matters probably varies from judge to judge and from skater to skater depending how salient their carriage is (good or bad) among all the other qualities of the skating.
We could write a formula to instruct judges how to weight all the disparate criteria currently listed under Performance/Execution. Or we could separate that component into two, with one consisting solely of Carriage, Clarity of movement, and Extension. That could clarify the role of these criteria even more, in the same way that separate components clarify distinctions more than the old single Presentation score.
But you'd still get some skaters where the carriage really stands out, positively or negatively, and drives the judges' perception of the whole program, and other skaters where it's just pretty good so judges' attention is more focused on other criteria.