The main thing I guess is dealing with C APIs in C++. You do have to use C APIs in Rust as well though, but maybe dealing directly with plain C APIs is less common because of how annoying it is. The only way to avoid that pain is to make a Wrapper library that exposes a more idiomatic and possibly "safe" interface. C++ can wrap C APIs just as well though.
I agree with you though, C++ has been doing RAII for a while and I'm not sure why people seem to think Rust invented it. Idiomatic C++ APIs and code are just as "automatic" as Rust for the most part!
Even though ownership and borrowing are theoretically orthogonal, they're both needed to make a complete safe system (the context was about managing memory for safety, not merely having a syntax sugar for malloc/free.)
Unique ownership prevents leaks and double-free, and borrow checking prevents use-after-free. Borrowing is necessary to temporarily relax the exclusivity of uniquely-owned objects and access their interior. Access to interior of a unique_ptr (and shared_ptr) decays it to a reference or a bare pointer that is not managed by the smart pointer any more, and can be left dangling. Borrow checker eliminates the manual "be careful not to leave dangling pointers" part.