> forcing SQLite
It might be the case that it's running SQLite via wasm. If so, then other database engines would need to be runnable in a browser too.
PostgreSQL has been shown to work in the browser (eg https://www.crunchydata.com/blog/learn-postgres-at-the-playg..., and also https://github.com/snaplet/postgres-wasm), so that might be an option.
Not sure about others.