No, it's more like: "Hey Mike, I understand you are hiring Joe, though because of our good relationship, I'd like to tell you why exactly is Joe leaving. Well,

No, it's more like: "Hey Mike, I understand you are hiring Joe, though because of our good relationship, I'd like to tell you why exactly is Joe leaving. Well, we didn't want to cause an uproar in the company, but Joe caused this one issue that cost us $100M and his behavior was exceedingly erratic." Now mix in some typical subconscious behavior of Joe that anyone could notice in 10 minutes and build some story on top of it so that the new manager has it always in front of his eyes. That's how intelligent character assassination works these days. Many managers got to the position of power by using these "dark techniques" so they know how to do it properly without raising a suspicion. Don't tell anyone where are you going. Don't put it on your LinkedIn until you are established there.