Kind of like how a car is tied to an individual, via the logbook (in the UK at least). You need to think who you let use your laptop, lest they get you in trouble. If it's stolen or you sell it, you report it. To be fair, people were against passports and license plate numbers when these were first introduced, and it hasn't lead to the problems people envisaged.

That said... I don't know if this is feasible with a laptop. It's much easier to pawn my laptop, than it is to steal my car and drive it without me knowing. And at what point does a computer become a server, and are those regulated differently?

Knowing that you're never anonymous online would certainly improve some conversations, and mitigate some of the ability for state actors to e.g. sow discontent online. But it would arguably be a huge inconvenience and risk for everybody, so I don't know if it's worth the cost.