Not really. Going with unsubstantiated rumors is not good journalism, but it isn’t fake. Fake is just making stuff up. It may well turn out that today’s reports were correct, just premature
maybe semantics… but imo an authentic journalist is one who diligently investigates, source checks, and is not primarily concerned with being first with the story at the expense of accuracy. If you are not that - you’re not an authentic journalist - ergo fake. Lots of fake journalists also put out fake news.
How long was Matt Lauer doing his thing before anyone came out with it?
Also as an employer there is only so much information they are allowed to give out even in a firing situation. Getting the dirt on employees these days is not an easy thing. It is pretty much yes he is or is not working here and if not when he left. If you say more you are opening yourself up to a law suit.