Think of it this way. All bans and content removals are local only, and don't federate to other instances, with a few exceptions

The most notable of these exceptions are

i) a community moderator removing content or banning a user from their community. This federates. An instance admin doing the same thing does not federate, unless the community was created on their instance.

ii) an instance admin banning a user based on their instance, and choosing to remove all of their content. This will federate the ban and the content removal to other instances.