I thought the whole point of sqlite is that you don't have to deal with the cruft and overhead of having to send queries over a network connection. Why tack that back on?
An interesting application could be a web-application whose ONLY server is the SqLite -server. The state of the application would be stored into the SqLite database, not into "local storage" etc. Using a relational database is a great improvement in flexibility over using the key-value store of Local Storage.
Could this work? I guess we would need to load one web-page into the browser first to load some HTML and scripts and then that page could use fetch() to get everything else from the SqLite -server.