The problem is that the CDC isn't getting to say anything right now, so we can assume that the moment they get to talk about it, the stupidest people you know are going to go "woah this was really sudden! They clearly made it in a lab!"
The little boy who called bird flu, but I think the call here is that it is difficult to feel safe behind the idea that it does not cross the species barrier when you have bird flu in cows.
Unfortunately people will just think "Hey I've seen this bird flu in the news and it didn't seem bad." Then they ignore all virologist recommendations and we have a second pandemic.
Too little information is as bad as too much, it is a difficult balance. The problem with information dissemination last time was not oversaturation but that people latched onto ridiculous conspiracy narratives and that derives from lack of basic education not too much news.