This is a documentation bug in my opinion. The "via Example App" was never included, nor should it be.
A user is fully responsible for his or her content, it doesn't, and shouldn't, matter how that content was posted. Whether via: the web page, the Android App, a custom Stack App, or via Pony Express -- the content is what matters.
A rogue app would ...
I've just done a couple of tests with my placeholder app. Even though the question is closed, I was able to generate a new access token (following the regular procedure) for my sockpuppet account, and with it I was able to edit an answer in the Sandbox. The token for my regular account continues to work as well.
When the post is deleted, write access is ...
From the registration page:
Because it's the neighborly thing to do. We like to know who is using our API, and how, so we can have the metrics we need to support your application and improve the API together.
Once it's ready for public consumption, we'll help you promote your registered application here on Stack Apps.
This is probably a variation of this bug and a variation or repeat of this bug that was partially fixed (once upon a time).
Anyway, the timeline does show all your events as can be seen with this query:
where 1563667200 is midnight on July 21st, 2019.
The problem is that ...