The common answer (especially from Fly.io) is "at-the-edge" computing/querying. There is network latency involved in sending a query to MySQL or Postgres and getting the data returned, whereas with Litestream you could put a read replica of the entire SQLite DB at every edge. Queries become fast and efficient only to the local read replica. There's still network latency associated with updating that read replica over time, but it is amortized based on the number of overall writes rather than the number of queries, is more fault tolerant in "eventually consistent" workflows (you can answer queries from the read replica at the edge in the state that you have it while you wait for the network to reconnect and replay the writes you missed during the fault), and with SQLite backing it still has much of the same full relational DB query power of SQL you would expect from a larger (or "proper") database like MySQL or Postgres.
Law Theorem[1] fits perfectly for this scenario
1- https://law-theorem.com/