Domain names are registered in your name, (the end user) not ours (the registry). We do not register customers domains in our own name as this would mean the domain would belong to us. If that were the case you would not have the ability to move the domain, and if we sold or went out of business you wouldn’t be able to keep your domain. So, a transparent and honest website hosting company should always register domain names to the customer and not to themselves.
So, for the period which it is registered, you own the domain. If the registration period lapses and the domain expire it will be returned to the public domain for someone else to register (after a stand down period). Because the domain name is registered in your name, it is you who must renew the domain through the registration system we provide.