Well, I can only say that the AA RTW desk disagrees with you, AA Mindpearl disagrees, BA RTW disagrees with you, my BA RTW agent in MRU disagrees with you, CX AMS disagrees, with you, CX HKG has no idea what I am talking about and last but not least I disagree with you.
So we can debate this a very long time but the fact remains that I have made this change dozens of times (both ways) and never was a reissue (for $125) required. Not once. So all these agents are idiots and only you two understand or maybe (just maybe) you are wrong.
No you can repeat a million times that you are right but (as I said before) real world scenarios prove you wrong. Unless you are the Managing Director of OW or a specialized agent (and than apparently the only one who understands the rules) I will stick to my own experience with this.
And to elaborate on your example:
If on a xONEx ticket the route would be determined by LHR (xAIRPORT) LAX where the transit is immaterial to the routing than chnaging LHR-xMIA-LAX to LHR-xJFK-LAX would NOT mean a rerouting. Trust me: that IS a rerouting. Your arguments don't make sense.