I do agree with what the video says, but, as a counter-argument, I'll use Texas as an example. parts of Texas freeways have a 80mph speed limit, and people still drive faster than that. It's pretty scary when you see a Dodge Ram barreling down the highway at 90mph+ passing by everyone else. The point is, if you raise the speed limit, people will just go faster. I don't think most U.S. drivers are capable of judging what speed is safe, and this can be seen in either sides of the spectrum: you have people going too damn fast in situations where it would be dangerous (fog, rain, moderately heavy traffic, etc) and people going too slow.
But I do agree that we need to raise the speed limit on most of the roads and highways, just not in school zones and residential areas. If they really want to make money on tickets, cops just need to camp out at school areas. Very seldom do I see people observe the 25mph limit when school is in session, especially in California.