> isn't even legit in modern C++. That's just move semantics. When you move it, it's gone at the old name.

Exactly the opposite actually.

Rust has destructive move while modern C++ has nondestructive move.

So in Rust, an object is dead after you move out of it, and any further attempts to use it are a compiler diagnosed error. In contrast, a C++ object is remains alive after the move, and further use of it isn't forbidden by the language, although some or all uses might be forbidden by the specific user provided move function - you'll have to reference the documentation for that move function to find out.

This article explains the difference well: https://www.foonathan.net/2017/09/destructive-move/