I realized what a big security hole informed delivery was when I signed up for it and started getting images of the mail for the house I sold five years ago. Apparently, it's only bound to the original address on the account (I had to create a new account at the new address).
I may be moving soon myself this Summer. I assume, although I haven't looked into it yet, there must be some way of opting back out of that service. This would then free up the next resident of my address to use the service.