I'm going to do more of a projection comparison with Larkin
I think Gauthier can play center in the NHL. Hes very well rounded but not spectacular anywhere much like Larkin was. Obviously Larkin is a 30+/30+ type of split producer. I think most of their skillset level is very similar but Larkin being the better skater and Gauthier having a little better shot/goal scoring instincts. Larkin produces a lot of goals off the opportunity his skating ability creates whereas Gauthier knows how put himself into shooting position to get a shot off.
Keep in mind Larkin absolutely exceeded all expectations and had a paved road to 1C as long as he was up for the task. He may not be a high end 1C but he surely is a legit 1C. His immense work ethics and determination each shift gave him the ability to elevate his game one more notch to where he is today. Larkin projected to be more of a 2C at the time, which is where I project Gauthier. Depending on how his strength develops and how far he can push his shooting ability, he certainly could end up on the high side and being at the same level as Larkin. But realisticly I'm going to project him as a 2C with 3C being his low end. I see a player here who certainly carves a NHL career to some capacity. I don't see anything in his game that would likely hold him back from being able to play at that level.
Gauthier has good confidants with the puck on the PP handling in close proximity of the defenders, making him a pretty solid puck disturber with a high threat of a shot. Solid ability to carry the puck up the ice, seems to have very good instincts on where to be on the ice to be involved in the play in all circumstances.
Certainly a player who will need some development time, but it will be interesting to see how he progresses. I think he is a candidate to have a big season in the NCAA. As far as I know about Bostons roster next season, he should have the opportunity to take a big role.