1. I don't think the stepping specifically is "what wasn't meant to be". I think it is all of CTE inclusive. As for the WHY on the NISL, I'm not the person to ask. I do know it works, I've been using the cue ball stepping for a little time now, and it is how you can arrive at the shot line (visually), the same line that is acquired with the manual and air pivoting. You can literally drop your cue on that line once you find it with stepping. For me it's a key ingredient that was never 100% understood by all with pivoting. Pivoting did work, it's just way more clear and succinct now. So as for making balls with different table orientations using the same prescribed instructions, you really need to take it to the table (especially now with spelled out ingredients), if you have not been able to demonstrate that to yourself before. Specifically WHY it works like that, you are asking the wrong guy. Maybe Stan can chime in if there is more data there.
2. The "angled" face (not sure if that is the official term) has been loosely stated throughout the CTE series. When Stan holds a cueball directly up to his nose and says "you'll never make a ball like this", that is what Hal used to do. It means you have to angle your face one side or the other to make CTE work. Or as Hal used to say "poke your head out", it's the same concept. Stan goes into this several times in these Truth series videos too. On a left cut, you have to angle your face left, or in other words, you eyes have to look right. Right cut, angle face to right, or in other words eyes look left. This is all happening first as you are finding the perceptions, not after.
3. I'm a computer science guy, and I'm going to chalk this up as Stan's way of saying, the human brain is very fast at identifying perceptions and executing them. Especially after it becomes subconscious. As for being faster than super computers, I have no way to quantify that
4. That is a better question for Stan. I'm pretty sure that he is stating that pros used edges of balls to aim, not ghost balls and fractions. ie. they are coming into a shot at an offset and sweeping in.