If you never change the shape of existing data, you are accumulating obsolete data representations that you have to code around for all eternity. The latest version of your API has to know about every single ancient data model going back years. And any analytics related code that may bypass the API for performance reasons has to do the same.
So I think never migrating data accumulates too much technical debt. An approach that many take in order to get the operational benefits of schemaless without incurring technical debt is to have migrations lag by one version. The API only has to deal with the latest two schema versions rather than every old data representation since the beginning of time.
Variations of this approach can be used regardless of whether or not the schema is enforced by the database or in application code.
The way you handle things with API level enforcement is actually a good architecture and it would probably make schema changes easier to deal with even on a relational database backend.
Schemas don’t change that often, in my experience.
For context, the last couple of services I wrote all have fixed, but implicit schema, (built on key value stores). That is, the DB has no types. So instead, the type system is enforced by the API layer. Any field changes so far are gated via API access and APIs have backwards compatibility contracts with API callers.
I’m not saying that the way I do it currently is “correct” - far from it. I strongly suspect it’s influenced by my lack of familiarity with relational databases.