This is an example of a channel for information theft. What happens when someone submits a request for your information with your (forged) signature? That would be fraud, of course, but that doesn't mean it won't ever happen. Will they get all your texts and gmail?
Maybe they check requests very thoroughly and this isn't an exploitable security hole. But it changes the equation of storing data on 3rd party services: instead of just trusting the cloud provider and his software, you also have to trust the government to never make a mistake.