I once read that Joannie's programs including at Oly 2010 were actually the most developed and intricate in the vein of Chan, Buttle and Lambiel but it was not recognized (yes moreso developed and intricate than Yuna and Mao). Despite the Mirai deserved bronze; everyone felt sorry for Rochette mongers it certainly is something to consider that even a few errors when you have good skating skilsl and intricate program you can do well like we have seen in the past from Lambiel, Buttle, Takahashi and Chan.
You may have heard it, but yea, verily, it is not so, and is probably a statement by strong fans of Joannie's, rather than having any relationship to truth. I'm not going to go there on the subject of Mirai or any other lady at Olympics. What I think is just wrong is the implication that somehow Joannie's program was superior to either Yu Na's or Mao's. There were indeed two ways to measure the difficulty and complexity of a program in 2010: the transitions mark, and the base value of the program. And given that Buttle & Lambiel excelled prior to the 2010 Olympics, I am sure that the judges knew well how to value the effect base value, and knew that more Buttle-esque transitions should yield a higher transitions mark. And regardless or not of complexity, there is a lot more to a winning program than inherent complexity-there is performing the items in the program correctly.
Here's the protocols from the 2010 Olympics:
http://www.isuresults.com/results/owg2010/owg10_Ladies_FS_Scores.pdf
Here's what Yu Na actually performed in her LP:
Her LP to Gershwin's Piano Concerto
http://www.youtube.com/watch?v=baA0so7ipIM
3lz3t
3F
2A2t2Lo
FCoSp4
SpSq4
2A3t
SlSt3
2A
3S
3Lz
FFSp4
CCoSp4
Total base value 60.90
Transitions mark 8.60
All the elements were performed properly with good GOE.
Here's what Mao did:
Her LP to Bells of Moscow
http://www.youtube.com/watch?v=5y5mcxHe9Qc
3A
3A2T
3F2Lo
FFSP4
SpSq4
3Lo
3F(ur)2Lo2Lo
1T
2A
FCoSp4
SlSt3
CCoSp4
Base Value 55.86
Transitions mark 7.50
Her 3t was popped to a single (thus losing about 3 points of base value, and her flip in combination was underrotated. The only element given negative GOE was the 3F2Lo2Lo.
And here's what Joannie did to St. Saens' Samson & Delilah:
http://www.youtube.com/watch?v=tyzkQQms3rA
3Lz2t2Lo
3F
3Lo
FCSSp4
SpSq4
3Lz
3T+3S Sequence
2A
CCoSp4
3S
CiSt3
FSSp4
Base value 58.34
Transitions mark 7.75
There were severe problems with her first 3F (-2 GOE)
Her solo 3Lz earned negative GOE
Her solo 2A earned -1.28 negative GOE
And her step sequence was only a level 3 (as was Mao's) If you want to make a claim for Buttlesque marks, there better be the ability to bring off a level 4.
Now looking back at these marks, and the programs, there is a case that Joannie's program is somewhat less empty than Mao's-Mao took lots of time to set up two triple axels. (see the two transitions marks) Mao's programs was not transitionless either. However, there is no case at all, at any level, for Joannie's program over Yu Na's.
And the sheer difficulty of attempting and completing two triple axels, far outweighs any complexity claims for me. Particularly when the skater being compared neither had a 3/3, nor tried a triple axel, and had problems with three of her 7 jump passes. Mao was the correct second place finisher in the LP in my book.
However, I have put up the videos, and the scores, and you are free to have a differing opinion.