I'm honestly not sure that telling more details on her twitter announcement (when she said she was leaving Cali, thanking Tannaz and everything) would have provided any less gossip. She's a very well known high caliber athlete, so whatever she does/says, people are going to be interested (some will love it, some will be suspicious, some sill hate it, etc).
Unless proven otherwise, I'm going to assume that she wasn't 100% sure what team she would be on. Therefore, announcing anything CEA related would just have been a huge teaser, and would have made things even worse. Besides (and this is still only speculation on my part), with the number of kids on Cali Smoed who don't live with their immediate family, she might have offered to stay in California at least for the season with one of the team families. If that is the case, then she chose to quit to stay with her family (which I very, very much understand, I surely would have done the same). Had she said "My family's moving, so I can't be on Smoed anymore", maybe some people would have blamed her not to do what several kids on Smoed already do. Maybe she was afraid of that kind of reaction. Maybe her family didn't wan't the whole world to know where they were moving before it even happened. Maybe she simply wanted to imply that she doesn't owe public explanations to anyone.