Do you support http or websocket connections like https://github.com/neondatabase/serverless? In my experience neon is ultra fast that way in serverless environments like 1-5ms per query with network roundtrip.
We have support for SQL over HTTP in Xata Lite: https://lite.xata.io/docs/sdk/sql/overview
We have support for SQL over HTTP in Xata Lite: https://lite.xata.io/docs/sdk/sql/overview