It bothers me there's no really established terminology for different views on personal identity. As in, whether you treat selves or persons essentially as "ontological primitives" or not. There's a bunch of terms out there, but they are all sort of awkward for one reason or another and in any case I find there isn't anything as widely established and easily understood as something like metaethical positions, i.e. moral realism vs anti-realism for example.
There isn't really a snappy term to communicate something like "I don't think the Star Trek teleporter kills me because I think my identity isn't defined on any basic unchanging essence or specific atoms blah blah." Except, if you're a Buddhist. But if you've come to these views from totally different sources and know next to nothing about actual Buddhist traditions, calling yourself a Buddhist seems wrong. Using the term anattā isn't too bad I suppose, but something without the Buddhist baggage would be more ideal.
There are the terms "closed individualism," "open individualism," and "empty individualism" used in this Qualia Computing post.