Don't shoot the messenger, but this is one of a number of quality-of-life improvements which is a non-starter because of the doctrine of disparate racial impact. The argument would be that poverty, undocumented status, etc, means it's harder for some ethnicities to comply with that sort of regulation, so the burden of police interaction would disproportionately fall on them. Probably not wrong in this case, getting a dog registered with all his shots is fairly expensive. My take is that a law worth having is a law worth enforcing, but unless that idea comes back into fashion, things like your suggestion won't happen.