Unless you have some kind of reliable sources we are going to believe that news especially if it just came from the dark web community like you said so I mean anyone there could easily announce fake news. Also, there are also a lot of scammers there so I dont really recommend engaging on them they probably just trying to trick you unless Binance and Bybit announce that they are hacked or there is evidence of movement on the wallets its not legitimate news.

I mean its not obviously going to be a big deal even if they are actually hacked because I dont really put my funds in an exchange where I dont have control over my funds right, you should actually do the same and for everyone, most of the traders here in the forum is not going to recommend that because you just dont have complete control over your funds, at any moment they could easily freeze your account and your going to lose your funds on that exchange or wallet, or probably if they get hack your funds are lost as well. Use open source and noncustodial wallets, or probably hard wallet if you have budget.