I am an idiot, and my pictures suck, but I know there a very small chance of getting a tack sharp image handheld at 70mm with the 24-70 at 1/20 on a 1.6x camera.
It's just physics.
Yup.
The Canon 24-70 f/2.8L is a fantastic lens and is incredibly sharp as long as you stop down past f/3.2. Wide open it's a bit soft.
Yes, as with any lens there can be bad copies. There can also be cases where both the lens and camera are just within factory acceptable tolerance, but when you combine the two together you get a bad result. Also, the 24-70 is a bit of a beast for some to use. It takes some time for some people to get used to the weight.
Summary of problems:
- Bad copies of the lens (I'm betting very few)
- Camera's AF out of calibration (likely as probable as a bad copy of the lens)
- Camera and lens both marginally within tolerance creating a bad combination
- Used to using IS and shooting with too low a shutter-speed
- Unsteady technique due to the weight
- User having poor technique and not used to shooting with fast glass (thin DOF). Example: swaying back and forth slightly before completing the shot.
- Too high an expectation of sharpness with the lens wide open. The Canon MTF charts indicate the lens should be slightly soft at f/2.8, so I don't understand why some folks feel a miracle is going to happen for them 
IMO anyone that has tried multiple copies of this lens and gets soft images when stopped down a bit (f/4 or f/5.6) either has a problem with the calibration of their camera or has poor technique. Could also be that they expect the zoom to be as sharp as a Zeiss prime, which isn't going to happen.


Riiiiiight....

