The study that I saw was a while back in the Physician and Sports Medicine and I can't link it.
It is very common for elite and nonelite runners alike to automatically fall into a linked breathing and stride rate pattern. No one is denying that. It happened in the study I mentioned as well. However, they all ran worse when they thought about it and tried to fit their breathing into a predetermined pattern and ran better when they just let it happen naturally. I think that may be part of the confusion in some of the articles you linked. Yes, certainly elite athletes breathe and stride in a linked pattern. But somehow I really really doubt that any of the elite athletes running any distance think to themselves, "OK I'm just starting out, so now I'll have to breathe at a 2:2 rhythm, then part way through the race think to themselves, "OK, now it's time to switch to a 2:1 ratio. Their bodies automatically use and then switch to whatever rhythm works best at that time. Thinking about it rather than letting it happen naturally just slows you down.
Look at all the different patterns it's suggested that you try in your first article - 2:2, 3:3 , 4:4, 3:2 , 2:3 - and the suggestion to try them all? Ridiculous! A lot of those articles are written for newbies and the real problem is that they are just plain running too fast for their fitness level, not that they are running with a 2:2 stride rate to breathing that should be 3:2 or 4:4. Let your body determine what pattern it wants to use, and let it switch mid-race or workout the same way the elite athletes do, without your conscious interference trying to force it into one ratio, and you'll be a whole lot better off.