This is not allowed by the current spec [1]:

    It is a compile-time error if an annotation interface declaration has the modifier sealed, or non-sealed, identity, or value (9.1.1.4).

So code code like:
value @interface I {} and
identity @interface I {}

should be rejected by the compiler

[1] http://cr.openjdk.java.net/~dlsmith/jep8277163/jep8277163-20220519/specs/value-objects-jls.html