The rise of GM that you described is precisely what brought the original success of the Model T: Ford merely elongated it through his price war. Meanwhile, the car grew old — and by comparison to the competition, bad. In 1908 it was a great, great car for the price. By the 1920s it was merely cheap.
Btw, WWI elongated the reign of the T. The 1919/20 depression that Woodrow Wilson manufactured killed off many auto makers, and helped Ford to consolidate his position. Had WWI not come along, the competition would have beaten down the T much earlier than 1926.