LOL - You're right! They do start to yap. I have a hunch that's kind of what's happened here. There's a lot of information out there that was probably gathered by the league and they intend to ask these players if the statements are true, or false.
If people didn't yap, you'd rarely solve a crime. You need information and from that information, you gather evidence. But, along the way, before you do too much investigation, you need to talk to those implicated, to give them a chance to clear their name, before you dig into every aspect of their life.
Put yourself in this position. A guy walks into a police station and says he heard through the grapevine that you've become a drug dealer. He doesn't know who it was who said it. He overheard a comment made by someone in a bar. He thought he should tell the police about it.
Before you launch a full scale investigation, you need to talk to the person who was accused of the crime. You don't start an investigation that taints their reputation. The moment you begin the investigation, word spreads like wildfire that you're being "investigated" for a crime you committed. Notice, I said committed? People think that way. Guilty until innocent. But, if you're a Packer fan, you think the opposite for your guys. It's a natural human reaction. I want to believe they're innocent, and want to say they shouldn't step forward. But, in reality, I know that not doing so brands them as potentially guilty.
Do I think the League has too much power? No. Do I think the Commish does? Yes. I think there should be an impartial panel of three or five jurists who make judgment as to what should and should not be pursued. Then, I think that same panel should decide the penalty. The problem is, neither side will agree, unless they "appoint" the members. They both want it loaded in their favor.