In this case I don't think cutting her out was a proper thing to do.
The car was just flipped and there was no fire or danger of explosion, otherwise the guys wouldn't just be standing there.
There could have been a spine/neck injury and in such cases you don't move the injured. Even the ambulance was there already. And you can see the paramedic holding her neck in place until they put the collar (don't know the proper English name for it) on her so she doesn't injure herself even more.
Car on fire or in the water, or the person heavily bleeding? Yes, cut them out promptly. Otherwise you could be doing more harm than good.