Hollywood vs Principle of Least Action

The fictional character of the Principle of Least Action viewed to serve a fundamental role in physics,  can be understood by comparing with making movies:

The dimension of action as energy x time comes out very naturally in movie making as actor energy x length of the scene.  However, outside Hollywood a quantity of dimension energy x time is questionable from physical point of view, since there seems to be no natural movie camera which can record and store such a quantity.