There is always a schema, and PlanetScale, in particular,
promotes the use of schemas. That is, behind the scenes we operate Vitess, which is an infrastructure and sharding framework on top of MySQL. You will create schemas in PlanetScale just as you would in MySQL.
Managing the schema, though: operating schema changes in code and in production, mitigating schema conflicts, scheduling migrations, running online migrations, experimenting with schema changes, etc., are something relational databases don't provide the right (or any) tooling for developers, and this is one of the things PlanetScale aims to bring to developers.
In my past experience as a production engineer, and in our many discussions within the community, we've seen many approaches developers take just to avoid the hassle of running yet another ALTER TABLE; whether because it requires going through a different team, or because this poses an availability risk, etc. PlanetScale offers to bring ownership back in the developer's hands.
Hope this clarifies. We'll publish more soon, and I'll be able to provide more links.
(I'm an engineer at PlanetScale)
(Edit for grammar/typos)