I mentioned it before but from what I can ascertain his problem has nothing to do with hockey. The common narrative with Lambert is that he has a ton of high end hockey skill but gets into jams because he does not use his teammates. This is mistaken for perhaps being selfish or having low hockey IQ. Both of these assessments miss the mark completely. I feel his primary issue is self-awareness and an understanding of how one's decisions, or indecisions, can impact others. It is not an IQ issue but rather an EQ issue.
I have seen this many times in my work and the good news can be if the person is willing to be open they can learn to develop these skills. And that is exactly what they are. My guess is Lambert's camp has had an extreme emphasis on technical development from a very young age given his natural abilities. It would be rational to try and perfect these but having him focus on practical skills like skating or shooting. However, here you tend to focus inwards on these and become less connected with how any of those translate to a team game. The shortcoming also translates into 'not using your teammates', which in effect is the inability to recognize that your actions and decisions are in lock step with a system as opposed to operating in a silo (Ie: individual skill development). Again, this is misread as low hockey IQ. It is more simply a self-awareness EQ issue. I also suspect he is not a bad person with 'attitude' problems. In fact, from what I can tell he is more the opposite.
I think in the case the Moose would be a wise choice as he can work directly with Jimmy Roy (and whomever else assists Roy) in a closer capacity. I also think a sports psychologist is a smart move in helping him learn more about himself. This would be a wise investment and can pay dividends. I have have been in therapy in a different capacity for many years it truly is extra-ordinary to see how your thoughts, feelings, and actions becomes more responsive to the needs of others. This is generally the same wheelhouse where Lambert would benefit as well, and how we would see it as fans would be him working with, and using, his teammates more. In a situation with a young lad like Lambert the emphasis would be on developing the person, not the player and I do feel a guy like Jimmy Roy is a good person to help be in that mentorship role. He has always been understood as a 'team' guy which means he understands how his actions, thoughts, and feelings impact others. And being a former pro hockey player he also understands on-ice verbal and non-verbal communication with teammates at a more intimate level.
Just some thoughts. Doesn't mean I'm right but my gut says it might be along those lines.