Well that's the problem with skating's choreography/performance/interpretation scores. Anyone can sass it up to Carmen. It takes far more to skate to Lyra Angelica. I'm not sure how this is supposed to be taken into account in the scores.
I'm not so sure "anyone" can sass it up to Carmen. Some skaters (though not many elite medal contenders) are too shy or too focused on the technical side of what they're doing to project much sass. Or too insecure on their blades to risk strong sharp movements.
The early-IJS program component guidelines gave more detail about what judges were supposed to look for in each of the then-five components:
Performance/Execution
• Physical, emotion, and intellectual involvement
• Carriage
• Style and individuality/personality
• Clarity of movement
• Variety and contrast
• Projection • Unison and “oneness’ (Pair Skating and Ice Dancing)
• Balance in performance (Pair skating and Ice Dancing)
• Spatial awareness between partners – management of the distance between partners and management of changes of hold (Pair skating and Ice Dancing
Choreography/Composition
• Purpose (idea, concept, vision)
• Proportion (equal weight of parts)
• Unity (purposeful threading)
• Utilization of personal and public space
• Pattern and ice coverage
• Phrasing and form (movements and parts structured to match the phrasing of the music)
• Originality of purpose, movement and design
• Shared responsibility of achieving purpose (Pair Skating and Ice Dancing)
Interpretation/Timing
• Effortless movement in time to the music (timing)
• Expression of the music’s style, character and rhythm
• Use of finesse to reflect the nuances of the music
• Relationship between the partners reflecting the character of the music (Pair Skating and Ice Dancing)
• Appropriateness of music (Original Dance and Free Dance)
• Skating primarily to the rhythmic beat (Free Dance)
Assuming a skater has some basic competence at smooth gliding on simple edges, I think it would be very easy to skate more or less in accordance with smooth lyrical music like Lyra Angelica. Expressing some nuances with arm movements would be pretty easy. Bringing in whole body expression, and especially using soft variations of knee bend and edge depth to highlight nuances, while also executing steps and turns etc. beyond simple edges, would require a lot more skill.
Meanwhile, there are nuances to be found in Carmen, and more opportunities for variety and contrast especially if the program includes excerpts from different parts of the opera.
I can easily imagine weak, competent, and exceptional performances to both kinds of music.