I think even calling it Lemmy is not the right move. Yeah, Lemmy is the server software running on a bunch of instances. But we also have kbin, and new softwares will pop up and fork and come and go over time. Once we can do some kind of account or community level migration, it won't matter whether you are on Lemmy or kbin or the next great thing. Everything will be federated so it will inter-op beautifully. If an unfriendly instance admin comes along, we can collectively cut and run with minimal interruption.
Thats still a way off from where we are now but the hard step was getting to the Fediverse in the first place. So, welcome to the newcomers among us.