Flying a drone is not considered as if you are holding the camera. If you could fly in such a way that you only film your property, it would be allowed.
This is what doesn't make sense. You are allowed to photograph public areas, and not just your own property (as long as you don't use a drone). They're putting hobbyist drones in the same category as CCTV cameras and other devices which are left in place to record continuously. Most of the drones affected by this law are not the expensive, semi-autonomous sort which can fly on their own using GPS waypoints, and even those only fly for a short time before the batteries are depleted. You can't just set them up to fly around and record for an extended time while the operator is not present. They require an active pilot. Most of them require line-of-sight, though some might be equipped for FPV. Either way, their presence is obvious from the noise, and the operator has to be fairly close by. To say that these drones would make lousy "surveillance" devices is a massive understatement. A person could accomplish much more effective and privacy-invading "surveillance" by hiding a cheap, disposable smartphone in the bushes. No hobbyist drone is going to be recording anyone surreptitiously.