I'm sure Coach Smith made a mistake on his video and has forgotten more about wrestling than most.
I expect he thinks of it in radians, and just slipped up on the conversion.
However, it is kind of disappointing to see. Every season I seem to have to explain things to coaches that don't understand a rule or the reasoning behind it. Some coaches think officials don't know anything and are full of crap. Many coaches will watch this video because of the influence John Smith has over the community and hear near fall criteria starts at 90 degrees. If I told a coach that criteria was 45 degrees and Smith states it is 90 degrees in a video, who are they going to believe is accurate? As right as I may be, they will never put an official's remarks above John Smith's even though in this case he is incorrect.
Realistically, referees as well as coaches understand wrestling in terms of what they're used to seeing, not the rules. For instance: I have come to expect that if I teach a mat technique which is out of the mainstream (and teaching things most people haven't seen
should be an advantage), it has a much higher probability of being stopped. Now, a spurious potentially dangerous call at least has something to be said for it: in a situation you don't understand, under time pressure, erring on the side of safety has some merit. But you'll also see stalemate and even stalling calls when an athlete is pursuing an unconventional line of attack.
Conventions are often as strong as rules. In Oklahoma (at least when wrestled), most throws were slams; in Pennsylvania, you practically had to put someone through the floor to get a slam. In Iowa, backing up was stalling; in Oklahoma, not shooting was stalling. Today, in large parts of New Jersey, any sort of riding seems to be stalling. It's all based on what the refs are used to seeing.
Very seldom, so far as I can tell, do referees think, "what are the rules governing this situation?" Referring to the rulebook seems to be the last resort, when you can't figure out the answer.
As for the 90° mistake: many times I have seen a referee indicate that there were no back points to count by turning his hand sideways (thumb toward the ceiling), and waving it up and down... as if to say, "He hasn't broken 90 yet."
Anyway, that's a bit of a rant, and I'm not actually disagreeing with you. I would enjoy seeing referees answer pop-quiz rule questions. I expect it'd be pretty funny.