Sure, both languages offer both generic comparison sorts†. But the defaults matter and as always in C++ the defaults are wrong, here it's reflected in naming.

That's not actionable information, except in the sense that the correct action is "don't use C++". Because sure, I know about sort stability, and I know about pointer provenance, and about memory ordering, but there might be any number of things I do not know and unfortunately in C++ "you should know and understand" absolutely everything at all times, which is not viable.

† The C++ standard library sorts are both much slower than in Rust, but hey, they're also both less safe so you're really getting the worst of both worlds