All engines without an electric fan will get hotter for a while when the car is parked. No water circulating and cooling the engine will do that, just look at the temp gauge a couple of minutes after shutting the engine off..
Now this isn't really a problem on our cars, it's not like we're talking about extreme heat and it doesn't usually affect anything but it would still be a smart thing to do to avoid heating all underhood items and the paint on the hood.
When it comes to the old movies I can understand why they did it. Older cars with large cast iron engines and simpler cooling systems had a tendency to get overheated carbs when shut off. The fuel in the carb gets hot and makes the car run rough if started after a few minutes. This can also happen when idling for a long time. I have a '51 Chevrolet with a stovebolt six that has this problem once in a while, for instance when filling gas and starting the engine after a few minutes. Doesn't happen at all if I raise the hood. I Used to have a '55 Plymouth that had a large heat shield between the intake and the carb to avoid this problem and it worked like a charm. Will make one for the Chevy when I get around to it.