^ The ISU strictly followed its published rules, though. There was an official list of criteria in descending order of importance. Placement at U.S. Nationals was given the greatest weight, followed by various other achievements in the current and previous season. Mirai got third at Nationals, but did not check any of the other boxes. (Previous years worlds, grand prix final, etc.) Ashley got fourth at Nationals and got a lot of credit for success in international competition. I don't remember now if Polina got any credit for her exploits as a junior, but in any case her second place at Nationals would put her ahead of Mirai according to the rules.
As I recall, at the time USFSA officials thought that the decision was cut and dried and were somewhat surprised that anyone who had read the rules would object. (They don't knew us fans very well, if they really thought that.

)
I do not doubt that the USFS committee used its published selection criteria for Sochi and 2014 Worlds.
But given the selection criteria, I do not agree that for a Sochi slot, Polina's second place automatically would have put her ahead of Mirai's third place.
Mirai *did* in fact check another significant box from the Sochi criteria -- with a 2013 GP medal.
I think the selection committee had a judgment call to make, and it made it.
Looking at the
Sochi criteria:
The athlete selection procedure for the 2014 Olympic Winter Games is as follows:
Team members will be selected by U.S. Figure Skating’s International Committee, taking into consideration the results of events in the following order of importance:
2014 Prudential U.S. Figure Skating Championships
2013 ISU Grand Prix of Figure Skating Final
2013 ISU World Figure Skating Championships
2013 ISU Grand Prix of Figure Skating events
2013 Four Continents Championships
2013 Prudential U.S. Figure Skating Championships
2013 World Junior Figure Skating Championships
2013 ISU Junior Grand Prix of Figure Skating Final
Skaters who do not compete at these events due to injury or illness, but who meet the other criteria, may also be considered for selection.
Mirai: third at 2014 Nats + third at 2013 Rostelecom + eighth at 2013 NHK + seventh at 2013 Nats
Polina: second at 2014 Nats + first in Junior Ladies at 2013 Nats + fourth at 2013 JGPF
A not unreasonable case could have been made that the combination of Mirai's third at 2014 Nats plus her 2013 GP medal was "worth" more than the combination of Polina's second at 2014 Nats + her junior accomplishments (criteria of lower importance than GP results).
The committee went with Polina, which also was not unreasonable.
Just sayin' that I do not think that Polina's silver at 2014 Nats should have made it a no-brainer to give her a Sochi slot over Mirai.
Applying the criteria in this case should have required putting thought into reaching a decision.
The committee's job is to make judgment calls, if necessary, and it made one.
2013 GPs and 2013 Nats were not included in the USFS
criteria for the 2014 Worlds team, so giving Polina the slot for Worlds would have been a more clear-cut decision.
The athlete selection procedure for the 2014 World Championships is as follows:
The winner in each discipline (ladies, men’s, pairs and ice dance) at the 2014 Prudential U.S. Figure Skating Championships, Jan. 5-12, in Boston, will earn an automatic spot on the 2014 World Team. The remaining team members in each discipline will be selected by U.S. Figure Skating’s International Committee, taking into consideration the results of events in the following order of importance:
2014 Prudential U.S. Figure Skating Championships
2013 ISU Grand Prix of Figure Skating Final
2013 ISU World Figure Skating Championships
2013 ISU Four Continents Figure Skating Championships
2013 ISU World Junior Figure Skating Championships
2013 ISU Junior Grand Prix of Figure Skating Final
Skaters who do not compete at the 2014 U.S. Championships due to injury or illness, but who meet the other criteria, may also be considered for selection.
Mirai: third at 2014 Nats
Polina: second at 2014 Nats + fourth at 2013 JGPF