Let me start by wishing Frankel the best. I'm certainly a fan of his.
However, and certainly not unfortunately, we live in an era were information is much more easily disseminated than ever before. So, if Frankel and his family want to keep his condition a secret, they would need to go out of their way to let as few know as possible. Probably a good idea to limit this to family members. Quite of few public figures have 'figured' this out, though not exactly in a timely manner.
If it's around the backstretch, then why would anyone take offense if it reaches the web? And requiring that one needs to first reveal his/her identity before disseminating something that, apparently in this case, quite a few already know really goes against all those 'anonymous sources' that are the staple of many of our news (sports, entertainment, etc.) stories.