In the introduction don't only mention "cloud-native", but also that the goal is to have zero-downtime, and being able to deploy outside of maintenance windows.
The "Checking the schema version" is unclear, especially making it clear that it isn't about backwards-incompatible that would require old applications to be stopped (and which is something that shouldn't happen). This is about deploying an application version that needs a schema change, and making sure that the schema change was applied, before starting the application.
"If needed, adapt first the current application": a) I'd rephrase this to "Ensure your application always works with the current and previous schema". It's such a fundamental concept that I think it deserves to be lifted into a principle. I'd quickly sum up what this means and then condense the rest of the current paragraph into the end of the same section. b) I'd add a fourth step "4. Clean up"