I've been having a really enjoyable game with this civ so wanted to share my experience. Large, communitu, Immortal. After re-rolling a couple times to get a tundra start, I had a nice bit of land to settle around 5 tundra cities and so was able to get good use out of my uniques. My general strategy was to go for peaceful wide, leaning towards science because I had just completed a DV in my previous game. However with scientific juggernauts like India and Inca in my game I think angling towards diplo would have been better in hindsight. Currently in renaissance trying to conquer India, but Inca being on the other continent and a massive runaway will be hard to deal with.
UA: I like the flavour of all these bonuses. I underestimated the difference "Non-Specialist" food consumption makes to your playstyle, definitely encourages prioritising quality tiles and your unique improvements. I was able to get a good amount of Seals which was fun. The boost to culture was great for keeping up with the AI in policies, which is usually rough on Immortal.
UI: Not too much to say with this but a solid improvement. Makes city planning fun when you're trying to maximise adjacencies. I like how you can combine this with GPTI to add some production to them.
UU1 Unatattik: The most disappointing unique in my opinion. I was planning my strategy around using these guys as front-line units as a kind of tercio replacement to apply the movement malus to enemies then blast them with field cannons. While the field cannons worked great, these were just not bulky enough to get into melee range and survive. Maybe I was using them incorrectly. But I quickly replaced them with tercios as they were getting shredded by enemies. I'm not sure what changes you would make, I like their design overall. It seems like they either need to be able to move after attacking, or more bulk to survive hits so you can cycle them out for healing.
UB: Nice unique, I always love unique replacements for underused buildings. Not too much to say except I really like how this encourages you to seek out tundra/snow cities. This encourages a fun strategy where you use Qamutiik to find good spots to settle across the pole. Although in my case I made the mistake of settling a city too far away and having it be conquered without enough defense, oops.
UU2 Qamutiik: Really enjoyable unit to use. I could see you utilitising this for authority and going max barb hunting / conquering, but I mostly used them for exploration which was cool. There's something really satisfying about crossing ice early and discovering untouched lands that other civs don't have access to yet. The only slightly annoying thing is that using these as replacements for pathfinders, the reduced vision range was really noticeable after a while. Not necessarily something that needs changing though, maybe I was just neglecting the scout line a bit too much.
The music and aesthetic for this civ is top notch. I absolutely love the peace themes. Very minor thing is that one of the war tracks is a tad louder / more distracting than the others. But overall, the Inuit are fantastic and I've had a great time playing them.