The thing is that the actual compiler behaviour matters more for real-world projects than what the C standard says. E.g. the C standard was always retroactive, it merely tried to reign in wildly different compiler behaviour at the time when the standard was new. It mostly succeeded, but still the most useful C and C++ compiler features are living in non-standard extensions.

> If they do, that is no longer an implementation of C.

This is plain wrong. Undefined behaviour, means the C standard specifies no restriction on the behaviour of the program, which is what the implementation chooses to emit. An implementation can very well choose to emit any program it pleases, including programs that encrypt your harddisk, but also programs that stick to well defined rules.