I appreciate that RAII is in C++ as well. RAII is an addition to C++. You can write valid C++ with memory leaks all over the place. This is the nature of being a superset of C. In Rust, there is no other way (outside of using unsafe). It is a language based around compile time memory safety. Segfaults and null pointers aren't extremely rare, they're extremely rare in modern C++ (which is a subset of all C++)

The borrow checker validates references as they are passed throughout your program. You can have either (many immutable references || one mutable references). This may seem simple but is key to the memory safety ideas. The usages of references are validated. Move semantics are checked at compile time.

However the borrow checker is not only about new/delete, it also prevents other forms of reference invalidations (e.g. when holding a reference to a vector element while appending to the vector, that reference can become invalid when the vector gets resized).