identified as belonging to the house.
This is not how property works in any western country. Someone dug up the street years ago, bought the copper, and paid to have it put into the ground. They own that cable. You cannot just go around and declare someone else is owner of it, without compensating the current owner, and probably even that would be challenged in court as the "give to the house owner" doesn't even fall into eminent domain.
And then switching from one provider to another would mean going to the gray box and unplugging a wire from provider "A" and plugging it into the box for provider "B".
Which would be a step back from the current system, where most provider changes are done by switching, not by mechanically unplugging wires. If someone needs to actually drive to a gray box and change wires every time someone changes ISPs, the costs for doing so would go up considerably.
ou're trying to prove me wrong instead of trying to understand the issue. It isn't helpful.
You're painting a picture of a fantasy world, ignoring the status quo. Yes, in a perfect world, if we would start from scratch on empty fields, maybe it would be better to do it that way this time around. But we don't start, we inherit a world where certain things are the way they are, like it or not. If you want to change something, you can't just paint a fantasy utopia, you need to show how to get there from where we are now.
So you want to change ownership of the last mile? Might be a good idea, show how to do it. Explain how to buy all the cables and grant or sell them to house owners. Come up with solutions for all the situations in the real world, with multi-story houses, houses with multiple outgoing connections, office buildings and private homes. A solution that works both for dense cities and isolated farms. That will not die trying due to resistence by the ISPs, the old cable owners, the house owners or the two dozen laws involved.
It's easy to say "this ought to be so". Everyone can do 10 of those in one minute. Cars ought to be pollution free. Ebola ought to be defeated. World peace should be achieved. Any of these statements just make you one of seven billion people with a vision. Being able to show step-by-step how to actually get there is the hard part.