Carolina plans 7-triple program?! Oh my! But so do many other ladies. And I hear Mao Asada
plans 3A and 3Lo+3Lo in the short, and she
plans a 7-triple program with TWO 3Axels in the long.
Let's talk about
execution and not "plans", please.

A clean Carolina with seven triples might beat a clean Yuna (assuming the deficit in the short is not too big), but that's equivalent to saying an 8-triple Mao with two triple Axels will beat Yuna, or that a lady with a quad and seven triples will beat a clean Yuna, etc. In other words, purely speculative, as it's never happened. If you look at actual execution, this season Carolina has gotten a 140+ LP at Nationals, as did Yuna. Both had six triples in the LP. They both did at least one clean SP, with Yuna's scoring 70+. If both are clean, the scores will be really close.
If both are clean in the SP, Yuna will lead by 3 - 5 points in the SP. If both are clean the LP, Caro has potentially a higher total score, but the gap is narrowed by Yuna's small PCS lead in the long. (I'm not saying that's how it should be, but I expect a clean Yuna would garner higher PCS than a clean Carolina from ISU judges.) So overall it would be very close, just because Yuna's lead from the SP and then her lead in PCS in the LP would be enough to make Caro's extra triple lead by TES a toss-up.
I think a rational Kostner fan would agree that if both are clean:
Yuna SP Score > Carolina SP Score
Yuna 6-triple LP Score < Carolina 7-triple LP Score
Would Carolina's LP score be enough to cover the deficit in the SP? I don't think that can be definitively answered. It will depend highly on the composition of the judging panel (random in other words).
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