With the video running full-screen and hi-def, look around 1:07 or so and you'll see a bird fly through the camera field. Its flight path is choppy, as if frames are missing.
Some of the most popular drones are meant specifically as camera platforms, and are more about smoothness and simplicity. But otherwise they can be dang fast and maneuverable.
There's stability assist gyros and special controller configurations, for things like the flips, and flying inverted (switches to reverse certain control inputs so you don't have to think about being inverted), but that's a hand flown flight. Takes a long time to get that good at it, though.