I respectfully disagree. Or at least I still have doubts.
First, the article you quoted was based on predictions made by Digitimes, not actual reported numbers. That publication's track record of accuracy is really, really, bad. That casts reasonable doubt right away.
Second, as may be expected, none of what we can now compare was accurate. That means we're basing a conclusion that Tim was right on incorrect information.
Third, even if the gist of the article is true, that Apple would consume that majority of the world's screen production, that means Apple was in a better position than anyone to release a larger screen. If they controlled the supply, they could dictate how it was applied. They made a choice to proceed with the size they did. It was not imposed on them.
Display is only one leg of the stool. You will see that the A8 is required to run a big phone Apple-style, and iOS8. Years of development are behind each iteration. All LTPS is going to current projected models, at that time the 5 and 5s. It's a technological ecosystem all its own, the way Apple does it.
The sniggerers are being way too simplistic, and DigiTimes knows more than they do.