Scorsese’s editor Thelma Schoonmaker has been known to use takes that don’t match up (e.g. cup in hand, cut, cup not in hand) as long as the emotional truth carries through.
If you went up to Herzog about a continuity error, he’d probably tell you to get a life.
As an anecdote i've recently seen Extraction with Chris Hemsworth, great movie but in the middle of the first big action scene, the camera goes through the windscreen of the back of the car without the glass being shattered. It was enough to pull me out of the action into a moment of disbelief.
Breaking continuity has a cost