It is consistent with the way the Rust community uses "safe": as "passes static checks and thus protects from many runtime errors."
This regularly drives C++ programmers mad: the statement "C++ is all unsafe" is taken as some kind of hyperbole, attack or dogma, while the intent may well be to factually point out the lack of statically checked guarantees.
It is subtle but not inconsistent that strong static checks ("safe Rust") may still leave the possibility of runtime errors. So there is a legitimate, useful broader notion of "safety" where Rust's static checking is not enough. That's a bit hard to express in a title - "correctness" is not bad, but maybe a bit too strong.