One of the most straightforward aspects is, well, should they break the ice at all? A lot of Inuit use iced-over water as their transportation routes as they go from point A to point B. Of course, that also feeds into how they hunt and how they gather local resources.
Consulting them on how we use these icebreakers is absolutely vitally important, but as for consulting them on exactly how the ships will be built or on particular characteristics, I'm not so certain of that myself, unfortunately. That's about all I can tell you.