Staying silent in the immediate aftermath of this coming to light and letting the investigation play out is a reasonable strategy.
Look, these players will either be charged and arrested by law enforcement, implicated and punished by the NHL, or cleared. Whether they say something now or not, it won't change what happens in the coming weeks and months.
If Batherson is implicated, it won't matter that he didn't make a statement this week. If he's cleared, it also won't matter that he didn't make a statement this week.
I know we live in an age where everyone needs to make an instant judgement, but that's just not how these things work, or should work. And honestly, based on the tenor of many posts, most fans don't seem to actually care about getting justice for the alleged victim. They don't care about how she wants this resolved. They just want to clear their own conscience about who they cheer for.
I would imagine all of these players have communicated with their families and closest friends, but they wouldn't do that through public channels. They'd just, you know, talk to them directly. I also don't find it hard to believe that many of them wouldn't give two shits about what people are saying on Twitter or HFBoards.