I'd caution against randomly re-wiring chunks of your CNS. There's probably a very good reason why we don't naturally do that.
It's also possible that genetic/biological means of turning on CNS regeneration in higher mammals would require a complexity that has not had time to evolve yet. Just because we evolved to the point of human-level intelligence doesn't mean we are perfectly evolved by any stretch of the imagination. It means we are, in a sense, a minimum viable biological entity that can acquire our level of intelligence.
Just pointing out that this is a weak argument.
Your simile would be apt if people not getting to the other side of the city were dying or having greatly decreased quality of life (alzheimers, stroke).