Yes, I think it's important to consider and understand the laws wherever you happen to be flying. More importantly, one should fly responsibly regardless of the details of the law. Which is a bit like driving a car, or doing anything really.

In London, you need to have a drone license and be registered as a drone operator. I have both of those. You're meant to ask permission from the port authority to fly over the Thames, but I think more importantly, you're not allowed to fly drones west of Tower Bridge, which is why that video is shot from the east.

I don't think the rules of sensible drone operation are yet (if they ever can be) neatly codified as law, and I have also observed a significant mismatch between what's written and how those rules are enforced. Fortunately, laws written by governments aren't quite as black and white as laws in programming.