Yeah, those animations are pretty to watch but get very confusing when they
start manuevering hard and the airplane goes off in a different direction
to what you might expect.

Good point, there's really no telling whether the animators got it
right or just wanted it to look really amazing and cool. If the pilot
objected they didn't air his objections. The show isn't into that kind
of analysis. It's more of a "look at THIS!!" kinda thing.