The recently deployed realtime updates display some questions that they shouldn't, based on what would be expected to appear on the front page's active question list:
In the first instance, a question with too many negative votes to be shown on the active list is displayed anyway.
In the second case, there's no registered activity on the question, but the question was displayed as if something had happened (I submitted an edit without changing anything, so it was completely a noop).
In a third case, I saw Kevin's edit (which you can't see in the revision history because he reverted it, for anyone confused by this) of this deleted question appear.
It doesn't make much difference whether or not they're displayed, but since they wouldn't appear if you were to refresh the page, it seems a little inconsistent.