Rust does require structuring programs in a "Rust way" to avoid fighting with things it can't prove to be safe.

However, I appreciate that Rust tries to achieve safety through improving program correctness, not merely crashing sooner.

Of course Rust has run-time panics (hasn't solved the halting problem yet), but it also has many patterns catching problems at compile-time. For example, a hardened allocator can detect use-after-free bugs when they happen, but borrow checking can prevent them from existing in the code in the first place.