Upvote:14
Depending on the measure of success you are willing to allow, some manufacturers made the transition. Admittedly with varying success:
The first car was actually build by Chaisen-Bauer, Pferdekutschen, Wilhelm Wimpff & Söhne, upgraded with not an after market but pre-market modification by Gottlieb Daimler of Mercedes Benz heritage.
H.H. Babc**k Company was founded in 1882. While Henry Henry Holmes Babc**k started to build Watertown Wind Mills from 1845 the company started to build carriages in the 1870s. In 1882 the H.H. Babc**k Buggy Company was formed and began to specialise in automobile manufacturing.
The most popular models introduced by them were the Highwheeler:
Or the "Model 30":
Unfortunately, this company was not overly successful and was dissolved in 1926.
Similar stories are told about the Buckeye Wagon & Motor Car Company, Burns Brothers. This list is of course incomplete.
Much more successful and long lived was the Hercules Corporation, operational from 1894 until 1954.
The most famous example has to be of course the Studebaker Company, being operational from 1852 to 1958/61/66 (depending on criteria). They build coaches and automobiles, and they were successful for a time at both.
Most carriage and coach builders tried to get into the game. It was an evolutionary development. Far from as disruptive and revolutionary as commonly portrayed.
In conclusion I would classify this morality tale a just that: a blatant lie told to management classes and the general public. As usual in these circles or even "schools of thought", the connection to reality, documented historical reality, is quite slim, at best.