Yes you do own your domain, as much as you can own your house. Your hosting provider can only take down your hosting, not your domain. Seizing domain names isn't very common. And by the way, with Web3 domains, you have full ownership via your own private key, with no need to pay rent. Is it possible to lose your house that you own? Yes. It's far more rare to lose a domain you own, by it being seized.
DNSSec is used to prevent unauthorized stealing of domains. Furthermore, if someone does steal one domain you own, they don't steal all your accounts across all domains. If they take over your hosting, that's a fixable problem -- you just repoint the domain.
Now, having said that, I designed the Safebox exactly to prevent these scenarios from happening, and create an actually solid foundation for decentralized social networking, AI workloads, etc. If anyone is interested, probably the best link to begin reading about it is: https://safebots.ai/about (If you do, I'd love to hear your thoughts)
Seizing domains is a lot more common than it used to be though, enough that it's a real concern for me personally, and I'm not sure there is a viable solution at the moment. There is also the concern of countries/governments or specific ISPs simply blocking access to one's domain in various ways... and the number of authoritarian regimes that have been blocking large portions of the Internet has only grown with time.
And regarding DNSSEC... if your domain is taken by the registrar (court order, ToS violation, etc.) or a government that can command the parent TLD to act, they can just revoke your old key and transfer the domain to someone else (or setup a placeholder under their own DNS) and now your protection and all concept of ownership is completely gone without your consent. This happened a few years ago with Epik seizing the soyjakparty and kiwifarms domains, including their hosting from a subsidiary company Terrahost... and KF has never even lost a lawsuit, but there are some specific people that really don't like them, and have gotten adept at claiming ToS violations via every possible company that touches them in order to try to make them go away.
> Yes you do own your domain, as much as you can own your house
Uh, no.
I can legally shoot and kill intruders due to castle doctrine and stand your ground laws in my physical home. And legal invasions require being in front of a judge and a search warrant.
A domain can be seized for 'terms of service' (aka kangaroo court) reasons. Stand your ground nor castle doctrine doesn't apply to your digital house.
In addition to the fact that almost nobody uses DNSSEC, it solves none of the problems indicated by this article.