Okay. But if I follow that "The magazine from the federated server may be incomplete. Browse more on the original instance" link, on a... magazine(?) I'm subscribed to on kbin, and end up on lemmy, it still says there that I am not subscribed nor loged in. And to comment from there I still need to log in from my lemmy.world account. So at least subscriptions are their own separate thing on lemmy and on kbin, right? Earlier for instance, I was trying to subscribe to The Scary Door magazine, but from lemmy, and I couldn't find how to do it. From the kbin account I could follow it easier.
I guess I'll just stick with the kbin one since things look simpler.