I've gotten TMZ push notifications since 2009 - IME they are almost never, if not never, wrong about facts, especially things like arrests and deaths.
Now, how they get that information is ethically questionable at best, but they do get it. Harvey is a lawyer and it seems like part of the reason he's still at the helm is his ability to quickly assess the legal liability, if any, of reporting breaking or fast-moving news.
Their "filler" content is tabloid trash, but I've found their actual reporting to be correct and usually at least a few minutes ahead of other news outlets. My guess would be that once they pass the legal hurdle they're free to report without the additional layers of review and approval that would be required by a more "reputable" news source.
Journalistic integrity is another conversation, but I personally feel comfortable believing stories they break.
MOO