They probably don't mind all that much when it comes to the photos simply showing the Collinwood exterior set - certainly not the majority of them. The latest batch do seem to reveal a plot point - but with us having no idea how it fits into anything, they're still able to safeguard that bit of info.
As for the videos and photos of the Beckenham Place Park shoot, I'd guess they might be more upset by those. But when they're shooting in public like that, presumably there's really nothing they can do about it, especially once they become viral, which the videos and photos did within hours of their original postings. Not that that was a surprise because everyone has been rabid for anything like that. So, the fact that the videos and photos spread so quickly was completely expected - probably even by Burton & Co.
And once stuff like that spreads so quickly, it's pretty useless even to try to do anything about it because so many people have already been exposed to it...
What they do have complete control over is what's happening in the studio and the official photos. And when it comes to all that, we've gotten absolutely zip.
But one day...
273 days 12 hours 18 minutes 29 seconds until the day the Depp/Burton Dark Shadows is released(ET)!!