I think spreading bad news or wrong news about Binance is not enough to make Binance's reputation bad, in my opinion the FUD that is being spread will not be an effective tool to damage a reputation like Binance. which keeps them strong and continues to grow because Binance has a large supporter or community and the binance team has a clear mission. this is why binace survives
Well, loyal supporters are immune to FUDs and this of course helps Binance stay strong but the concern is from those non-loyal supporters who are simply the opportunists. If the allegations by the U.S government are true, Binance will face severe economic loss and reputation damage. Those opportunists will be most likely to walk away from Binance and this will cause the BNB price to drop dramatically and may cause a series of more collapses. If Binance can go through this tough time, its development will move onto the next level. Good luck to them.