This is important - but, more importantly, the app should really let users delete their own posts.
This is particularly relevant because self-deletion is usually something that's assumed that other users can do, and it can be a very frustrating experience for a new user (i.e. just registered, and only using the app) to be told to delete their post but
apparently no way no way at all to comply.
One such recent incident led to the poster repeatedly vandalizing their posts (i.e. gutting the content and editing in a 'how can i delete this' message) until moderators edit-locked the posts, leading to a significant amount of bad blood over a completely avoidable misunderstanding.
When moderators tell a user "don't gut your content, delete the post instead", there is a built-in assumption that users can delete their content (where applicable), and that is a reasonable assumption to make - it's an assumption we need and want to keep being able to make. Similarly, if a prospective user goes to the Android App download page, it's pretty reasonable for them to assume that they're getting a full-featured deal. That's a collision waiting to happen.
It's perfectly OK for the app to be missing advanced features like 10k tools, badge tracking, or even looking at one's top questions, but this is part of the core Q&A functionality; both the android and iOS apps should be upgraded to include this sort of thing - abilities that are required to follow the site rules - or they should have a pop-up early on warning posters (particularly fresh users with primarily/only app logins) that this is only a feature-limited product and that the full thing is the desktop site. And that'd be bad, right? Well, the current status quo is equally bad, if not worse.