I think that AWS already offers Aurora Serverless v2 which pretty much accomplishes what a lot of these me-too-serverless services that won't integrate as well as something that is offered out of AWS.
Even if you were insistent on cloud-agnostic mandate (which is really not logical since there is at best 3 public clouds to choose from that are also vulnerable to targeted cyberattacks and faultlines), it would be hard to convince a large organization to switch to using Sqlite on Fly.io