Hell, you can see it too in the latest F1 movie.

Shots in which the base plate was taken from live footage (crews trained in filming the sport) are stable and show all the action. Shots from Hollywood camera crews can barely keep up.

One may say this is a bad comparison point, and that it was an artistic choice, but I call bullshit on that. So much of the movie was based upon live footage that the ones that didn't just look amateurish.

And yet, both crews are professionals. It is difficult to film these things well.

Unless you have a really cheap production budget, there are multiple races with each race day being preceded by practice times and qualifiers. There's plenty of time to point a lens and get a feel for the tracking speed. It's not like there's a NASA launch weekly/monthly/annually. So yeah, I'm leaning on just an out of sync crew way more than this "anticipating a bad thing happening" theory