Who knows, but it seems (to me anyway, from my own hands-on experience) the odds are stacked well against getting a good copy of this camera.
It has been a frustrating and time consuming experience from which I've now made three observations..
1. When it's put together correctly, the 1DsMkIII is truly excellent.
2. Canon needs to pull it's socks up when it comes to quality control and customer care.
3. It's important to develop a good working relationship with your local camera dealer.
I don't think your experience alone is sufficient to conclude that in general the odds are stakced against getting a correct copy, but your three observations have real merit. One hopes #2 will happen as a result of increasing competition.