I am no expert on this stuff (hence not a hockey coach) and it seems obvious to me Conmy needs space to operate and other teams smartly check him tight. He is clearly UNHs best offensive player. So what are the strategies out there to make him some space, fast guys, big guys, etc. etc. Then you start working your way through the list till you find tricks that bother the opposition, knowing that the opposition is going to adjust. Do you get a big enough guy that just drives the net and pulls defensive players with him (as an example). It just seems to me UNH has a very limited number of thing that have been tired and when you are loosing you need to do something different, some times just to get the other team to do a WTF is that moment.
As to Lavins, I think his ceiling is a 2nd or 3rd liner on a really good team. He has a really nice all around game, just not a great shot. Several of his goals this year have come on some beautiful tip-in/redirects (I have one in particular in mind that I hope was this year not last)