Frame rate, not shutter speed. Fast shutter speed provides clarity to each frame. But the illusion is due to frame rate. (Saw bad arguments in social media, so I had to say this.)
I guess that accounts for why the ship seems to be moving faster than normal?
Perhaps. They may have adjusted frame rate to match rotor speed. I hadn't though about that, but it would be an unlikely coincidence for them to match with no.manipulation. if they had to slow frame rate, then perform playback at a standard rate, that would give the effect of speeding stuff up.
At about 0:18 you can see the tail rotor is not in sync.