In the UK, one does not need government approval or permission to live in a house, so it's quite possible not to be homeless and also not to have government ID. Crazy times.
You miss my point entirely. If you have an address you have a unique identifier which is shared widely, usually publicly. You therefore you can be easily identified.
And do I need to present that address to interact with society? If a policeman stops me in the streets, can he demand to see my address for no reason at all? Is it now, or will it one day be illegal for me not to carry that address around with me?
The problem isn't that it's possible to identify people. This is something that can be done, for example, by looking at someone. The problem is in the relationship between the state and the citizen.