Earlier quoted context omitted.
We are using SQLite. The performance bottleneck is not the database itself but conversion between the Java and JavaScript environments.
Obviously almost every react native app out there is accessing a SQL db over the network, and they work fine. Are you seriously saying that it's slower to get data over the react native bridge than over the internet?
We are using a local database as a mirror for offline use, which is a key requirement. Profiling (a forgotten art nowadays) shows that most time spent during queries is in this bridge and not in the actual queries.