I've never heard of a CA doing that. By and large, the reason why this happens is human error - no one knows the cert is about to expire because it's not being monitored and/or the email from the CA (if they even send one) goes to a mailbox that's not being read.

But there's no reason why a rote task like renewing a certificate should be left to humans. It should be automated, which is what my startup, https://sslmate.com/, is doing.