I want my page to use local storage, for users to store customer names to be retrieved later. I need to reassure users that my site (server) will not access the local storage.

Do I understand this correctly? For the server to access local storage, it has to use a client-side script (e.g. JavaScript) to get at it. This script would be apparent if the client-side source code was examined (e.g. using view:source). So the reassurance would be testable. Or can the server access local storage without there being anything visible client-side?