I actually thought that Satoko's Miss Saigon is a really good program/performance (and you all know that Yuna is my fav skater.

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I thought the concept actually suits Satoko (like race etc. the things we touched above). Miss Saigon is indeed Satoko's most well received program.
When Yuna was at that tender age. why they choose Miss Saigon is perhaps also based on similar reason. that Yuna is asian, tender/fragile looking and same family name Kim as Miss Saigon (similar concept Med used last season for her LP ,Evgeni's waltz etc.).
But somehow, that program is not that well received among Yuna fans. that's why they changed strategy and brought out the "Queen" quality of Yuna ever since.