In my current understanding instance admins have the power to delete posts in third party communities for the users on the instance they administer. This would not affect other instances, since they are other servers, where a third party instance admin has no power. At least that's how I remember the global moderation tools being when I used to run my own instance.

So in my current understanding it would not matter, if this post is in a 3rd party community, or directly on this instance. If the admins were to disapprove of this post as much as implied, they would've removed this post from feddit.org directly. The "only" difference being that if this post was on feddit.org and they were to delete it, it would probably also be removed from all the other instances, but this point does not matter, since that is not the case.

My whole argument here is, that my instance administrators would've deleted this post on my end already and I wouldn't see and interact with this post right now. This point requires that my understanding of the moderation tools are correct, which I currently can't verify easily.

Feel free to correct me, if my understanding of Lemmys moderation tools are incorrect.