I find very good method of determining conductor ampacity, pretty much exactly the way I did it earlier, but that is all it has, and my 4/0 would be fine when it comes to determining minimum ampacity. It does not mention overcurrent protection, but I have come to the conclusion that overcurrent protection and determining ampacity are not the same thing and I simply missed the fact that overcurrent protection of this conductor that otherwise has enough ampacity for the load just doesn't work with the selected conductor. I'm guessing it doesn't work out that way too often, but at same time I wonder how many times I may have missed something similar.
As far as the motor calculation in the other thread, I did not find anything that really specifically addressed the problem I was having there. The book I have did mention same thing NEC mentions about minimum ampacity, but this book does not have any specific examples or instructions of selecting ampacity for motor circuits, just a general ampacity selection section that kind of combines the general requirements from 210, 215, 230 and 310 for ampacity selection. I still concede to what was said in that thread about what I was doing wrong in that particular calculation.
I appreciate the input though, I have learned from this.