A minute can make a significant difference.
The difference between the theatrical cut of Robocop, and the cut on the Criterion DVD is around 40 seconds. Yet that 40 seconds was enough to get it an X rating (for violence) if it'd been released like that.
And that 40 seconds is enough to change the tone of the movie in those two scenes. Before the cut the violence went over the top and made it comedic in a very dark manner. Once the cut was made it the violence was no longer over the top and was then rather evil & sadistic.
Watching the two versions makes the R rated cut the worse of the two cuts as it's definitely more evil than the X rated cut.

Makes you wonder if the MPAA has even the slightest clue about what they're doing...