I hope this does well. The art is great, since it's Kawaguchi-sensei after all, and the concept is interesting as well. I never thought I would say this, but Shonen Jump needs another good action series. Hopefully this will be it.
I also like how we're already seeing some themes about self-sacrifice, love, and giving to others. Making others warm, cooking for others, fighting for others, and dying for others. The first chapter presents a balanced view of self-sacrifice: care for others, but also for yourself so you can care for others more.
The characters are nice as well. Otr is a pretty likeable kid. Fylgja is such a fun character already too: she's so goofy. What more does one need in a shōnen manga?
I say let it cook.