I don't buy that. Process is CYA first and foremost. If something happens, you get to say, "We adhere to the strictest processes and best practices... blah, blah, blah."
Was there a lack of process in the space shuttle disasters? The flight 9525 crash? The Titanic?
You want safety? Get a third party (insurer, certification body, etc.) to assume responsibility (financial, legal, political, etc.) if anything goes wrong, regardless of the root cause. You might not get perfect safety, but you'll get responsibility, which is the next best thing.
Rigid processes are about diffusing responsibility, not taking it.