No, the Rust community almost universally understands "safe" as referring to memory safety, as per Rust's documentation, and especially the unsafe book, aka Rustonomicon [1]. In that regard, Safe Rust is safe, Unsafe Rust is unsafe, and C++ is also unsafe. I don't think anyone is saying "C++ is all unsafe."
You might be talking about "correct", and that's true, Rust generally favors correctness more than most other languages (e.g. Rust being obstinate about turning a byte array into a file path, because not all file paths are made of byte arrays, or e.g. the myriad string types to denote their semantics).
You might be talking about "correct", and that's true, Rust generally favors correctness more than most other languages (e.g. Rust being obstinate about turning a byte array into a file path, because not all file paths are made of byte arrays, or e.g. the myriad string types to denote their semantics).
[1] https://doc.rust-lang.org/nomicon/meet-safe-and-unsafe.html