It is a common misconception about "serverless". Of course you are right: You don't actually host a website without a server.
Quote from Wikipedia:
Serverless computing is a cloud-computing execution model in which the cloud provider runs the server, and dynamically manages the allocation of machine resources.
It is about some provider manages the server and it's allocations. In "serverless" you don't have a fixed server with a fixed IP but a dynamically managed server.
In my opinion "serverless" therefore is a misleading description.
EDIT: Think about you being "serveless" rather than the application.
It is a common misconception about "serverless". Of course you are right: You don't actually host a website without a server.
Quote from Wikipedia:
It is about some provider manages the server and it's allocations. In "serverless" you don't have a fixed server with a fixed IP but a dynamically managed server.
In my opinion "serverless" therefore is a misleading description.
EDIT: Think about you being "serveless" rather than the application.
Ah! OK, thank you. So it's not about not having a server, but about not caring about the server. Got it.
You got it :)
Btw: I was thinking exactly the same for a time...