If you want to backup an individual AMI you're probably doing it wrong. That probability goes to near certainty when you're talking about serializing it for off-site backup. Backup the deployment automation and the data, sure.
I agree, that was kind of my point. He was talking about taking VM's but in a cloud environment this is a bit more awkward. Copying and storing VM's securely is not hard, but transferring AMI's is the only rough equivalent I know of in the cloud world. Ideally, you don't have to do this. But for one part of my current stack, the configuration that this specially configured windows box has been lost for a while. Rebuilding from scratch has not worked each time it has been tried.