What if it doesn’t cache the page on the server, and the service is essentially a cloud-based user agent? It can’t be legal to run a user-agent in your compute

What if it doesn’t cache the page on the server, and the service is essentially a cloud-based user agent? It can’t be legal to run a user-agent in your computer, and illegal to run a user agent in the cloud. The question becomes, what is the defining property of a user agent?