There is absolutely no way they do. Why on earth would they?
That being said, I don't see the US decided that they aren't going to win gold and just throwing people out for the experience. Hopefully they will select the teams available to them that they feel will do the best. If ChoBat can't/won't do both, they will have to choose between C/P and Z/K, but I HIGHLY doubt they will be choosing based on ChoBat's preferences OR on which team "needs to get their FD out there."