The police can certainly ask that you not discuss an active investigation.
Any lawyer worth their salt will advise you to not comment on an active investigation.
And for sure a judge can order someone not to discuss something, hence the term “gag order”.
Any or all of the above may apply in this case. As Baldwin is not a lawyer I wouldn’t read too much into that statement other than he’s been told by multiple people (his words) to say nothing. He’s talking to the media, not a courtroom. He doesn’t have to discuss in detail who told him that or the exact legalities involved. In fact, he probably shouldn’t.
Baldwin stated pretty plainly that he is NOT an expert in these matters and he’s OK with people who know more making decisions about these things. He very much stressed he is no authority on this issue. He mentioned legislation, he mentioned “rubber guns”, “plastic guns”, no functional guns, whatever people more in the know proposed he would back. That’s not “I want more laws” that’s “I’ll follow the lead of experts, whatever they decide”. Frankly, that’s something a lot more Americans should do on a number of topics but I’ll skip that diversion.
Baldwin has a long history of being pro-gun control. As an actor he has a personal stake in reducing the risk of accident, injury, or death on set. As such, there would be nothing mysterious or hypocritical in his backing additional restrictions on potentially dangerous props. There’s no need to over think this.
Also keep in mind that Baldwin, for all he seems pretty calm and together in that video, has been part of an experience traumatizing to everyone involved, one that could have severe and long term consequences not just for himself but for his family and other people. No matter what the eventual outcome may be this is going to dog him for the rest of his life. But don’t expect him to completely have his shit together, or be thinking entirely rationally at this point.
I think he did make a point that reporters so eager to tail him and his family to get a comment should at least know the name of the woman who died. Heck, I don’t personally know any of the parties involved here but I was pretty ticked off when one of the reporters stumbled repeatedly and couldn’t remember Halyna Hutchins’ name. That’s gotta be worse for anyone who actually knew the woman.
Although Baldwin is part of a trending story and thus the public has a “right to know” I really wish there was a good remedy for reporters who pursue people in such an obnoxious manner that kids are crying and there might even be a potential safety hazard. Baldwin’s kids should not be part of this, they aren’t involved. Let’s not see any more accidents out of this mess. Enough people have been hurt and killed from a bullet, let’s not have any more human damage.