On paper and in theory, this might be an understandable take.
But we're all under the guise that if they're moving on from Lou in the first place, then they're moving on from his mode of work and his vision of the how the NYI should be run and constructed.
I find it hard to believe that any candidate of value who could really come in here and take this team in another direction - likely be doing a lot of things differently - is going to get excited about the employers telling him that the guy he's hired to replace, one who didn't just quit of his own free will, will be sticking around to serve him in an "advisory" role.
I mean, Jeez Louise, that's kind of like saying, "Oh, BTW, we've got this dagger in your office hanging from the ceiling and pointing right at the back of your chair. No worries though, it's just for decoration."
I can imagine that Lou The Godfather Lamoriello is about the last person in the business you'd want hanging around all the time when you take on your new job, much less one with such opportunity.