I found a couple of years ago that I was getting severe wrist pain when I benched heavy. I tried some wraps out and that did the trick. The thing is though, you have to use them correctly. Wrist wraps are the most uncomfortable piece of equipment that I use (if used properly), but that may be because I dont use knee wraps.
If you do it right, you can pretty much just leave them on for as long as it takes you to do the set, I get mine off as soon as I can after I let the weight down.
Also... call it broscience if you want, but I advocate avoiding them until you have to use them.
Also, find a different vid. There's got to be one out there. You put the wrap on each wrist loosely. Then, right before your set, you unwrap off one wrist (lets call this wrist #1), onto the fist of the other hand until you get down to the end (the thumb loop of wrap is still on wrist #1, but the wrap is scrolled around the fist from wrist #2), then, pulling it tight, you wrap back around wrist #1. You make a very strong fist with wrist #1 right before you start wrapping it. No need to switch grips or mess around with letting go and regripping the wrap. Experience will tell you how tight you want to get (should be uncomfortably tight even at the loosest). I go anywhere from cutting off the circulation (loosest), to vised into a cast (tightest) depending on the weight. You shouldnt be able to more than partially relax your wrapped hand. Then repeat on the other side and ... lift!