For instance, any &mut reference in Rust is assumed not to be aliased, and any &reference not involving UnsafeCell<...> is assumed not to be written to. These implied contracts can be loosened, e.g. by using &Cell<> if applicable (may alias, can be read or written safely, but only "as a whole object": access to the internals does not escape beyond any single operation) which is arguably closer to idiomatic C.
MaybeUninit<> is another common example: C and Zig code often works with possibly-uninitialized data, but this possibility has to be accounted for explicitly in a safe Rust interface. It's always insta-UB if a safe Rust function is passed uninitialized data, even when the equivalent would work idiomatically in C.
Though I can imagine that unsafe Rust still has to many of the safe Rust's rules. So there could be a better unsafe language that has fewer restrictions.