C has a single '+' operator, just like Rust has. And what that operator does depends on the types to the left and to the right. You can cast between integer types to achieve different behaviours depending on what you want.
About u8::unchecked_sub() etc, those are just regular functions. Not really a language thing. Yes, nothing of that is standardized in C AFAIK, but I'll happily use e.g. __builtin_add_overflow() or whatever in practice.
We can argue all day long what are the right defaults, checked or unchecked operations. If you want to be safe, you want the compiler to emit checks. It's probably possible to get some of those in GCC. If you want to emit streamlined machine code, you'll definitely not want to add checks after every machine instruction.