I know TFA says that you can "soon" automagically replicate your sqlite db to another server, but it only allows writes on a single server and all other will be readers. Now you need to think about how to move all write traffic to a single app server. All writes to that server will still take several milliseconds (possibly more, since S3 is eventually consistent) to propagate around all replicas.
In short, 100x latency improvement for reads is great but a bit of a red herring since if you have read-only traffic you don't need sqlite replication. If you do have write traffic, then routing it through S3 will definitely not give you a 100x latency improvement over Postgres or MySQL anymore. Litestream is definitely on my radar, but as a continuous backup system for small apps ("small" meaning it runs and will always run on a single box) rather than a wholesale replacement of traditional client-server databases.
PS: Congrats Ben!