I think there are always going to be differences between what's done in the field versus what the policy or law says.
Should you come to a complete stop at all stop signs and red lights? Yes. It it absolutely necessary to come to a complete stop, if you can clearly see far down the cross street, and it's quite obvious that either nobody is coming, or any cars there stopped or otherwise yielding to you? No, not in my opinion. But this comes with the caveat that you will be held at fault if you're wrong and something bad happens.
I am reminded of when I used to drive around downtown Baltimore, MD, and the surrounding area, working for a hospital-based critical care transport company. My experience prior to that came from commercial BLS driving, i.e., driving for comfort, not speed. Compared to how I saw 911-experienced drivers driving, I maintained a large clearance between me and the vehicle in front of me, and made all turns and lane changes more slowly and cautiously. But this had some odd side effects. Primarily, because I wasn't riding the *** of the car in front of me, blowing my siren and horn up his tailpipe, the drivers in front of me seemed to assume that despite the lights and sirens, I wasn't in any particular real hurry, so they weren't in a real hurry to get out of my way. I guess they thought I was trying to not excessively exceed the speed limit or something, since I was 3-4 car lengths back and matching their speed.
My point with that last paragraph is to illustrate that in emergency driving, you do need to drive with some aggressiveness. I don't think I had enough. There is a fine line between being aggressive enough to get people to safely yield to you, and being too aggressive that people panic and do stupid things and accidents happen. Was that line crossed in the video, regardless of what the law says? Clearly, some of you think it was, and some of you think it wasn't. Personally, I think you can take a few moments and have some constructive criticism about those moments, but overall, I don't think it was bad.