Isn't it much quicker to write a one line migration vs copying the DDL, then adapting it to the desired state and then getting getting the migrations from that tool? Or am I misunderstanding something?
In the big picture, declarative schema management has lots of advantages around avoiding/solving schema drift, either between environments (staging vs prod) or between shards in a sharded setup (among thousands of shards, one had a master failure at an inopportune time).
It's also much more readable to have the "end state" in your repo at all times, rather than a sequence of ALTERs.
There are a bunch of other advantages; I have an old post about this topic here: https://www.skeema.io/blog/2019/01/18/declarative/
It's also quite essential when maintaining nontrivial stored procedures. Doing that with imperative migrations is a gateway to hell. https://www.skeema.io/blog/2023/10/24/stored-proc-deployment...
With a declarative model, would you run the migration and follow immediately with a one off script?
With row data migrations on large tables, there's also risk of long/slow transactions destroying prod DB performance due to MVCC impact (pile-up of old row versions). So at minimum you need to break up a large data change into smaller chunked transactions, and have application logic to account for these migrations being ongoing in the background in a non-atomic fashion.
That all said, to answer from a mechanical standpoint of "how do companies using declarative schema management also handle data migrations or renames":
At large scale, companies tend to implement custom/in-house data migration frameworks. Or for renames, they're often just outright banned, at least for any table with user-facing impact.
At smaller scale, yeah you can just pair a declarative tool for schema changes with an imperative migration tool for non-schema changes. They aren't really mutually exclusive. Some larger schema management systems handle both / multiple paradigms.
For MySQL/MariaDB with Skeema in particular, a few smaller-scale data migration approaches are discussed in a separate post, https://www.skeema.io/blog/2024/07/23/data-migrations-impera...