Surimi also contains chicken egg protein. I guess for emulsifying. Surimi might contain crab, but then its a very small % (the legal requirement).
I bought real (river)crabs at Ikea. Needs a lot of time to get rid of the ice, and its a bit messy and tricky to eat (take your time!), but I found it delicious. The flavor is unlike anything I ever had, and the texture is pristine and delicate. After a while, it even becomes fun to dismantle them. Though the very first one got my glasses full with... whatever it was.
As for fish sticks, I know the brand we got contains Atlantic cod. Its a very cheap fish, and quite frankly it tastes disgusting (had it out of oven while cooking on budget). However the sticks add structure (crisp/bite and salt I suppose) to the otherwise bland fish which remind me of rotten fish, so they make it edible. Our daughter (2) loves them, and they can easily be prepared in an airfryer or oven. They might be a bit salty though.
Normal Atlantic cod I'd rather just feed my cats. Even with seasoning I still find it barely edible, and I just got this rule with fish (and shellfish) if it smells or tastes something remotely resembling rotten, I don't eat it. Cause as kid I ate enough of that already. Plus I generally eat my foods seasoned, with herbs and spices. Dill, for example, goes great with a lot of fish.