Maybe it's all personal taste, but I don't have many issues focusing my Contax, either auto or manual and do a lot of focus then recompose.
Using a center focusing point and then recomposing when shooting wide open and not with a long lens will lead to focus moving forward or back depending on the re composition.
It's a well documented issue. It is however more of an issue with shorter focal lengths where the angle changes more during re composition.
From the Hasselblad True focus white paper.
Are you shooting wide open with a fast lens?
Here is a test done with the Mamiya DF to illustrate the focus and recompose problem.
Shot with the 80mm at f2.8 and on a panoramic head to keep the distance locked and locked better than any hand held re composition.
The first photo shows the extent of the re composition that is actually quite minor.
About what one would do to do a potrait with a "rule of 1/3rds" composition.
Here is a crop of the feature before recomposition:
Here is a crop after the re composition:
One can clearly see the focus shift. This would result in blured eyes.
It isn't because of the slightly lower sharpness furthur away from the sweet spot of the lens as you can see from the increase in detail
indicated by the red arrows due to the focus shift.
Here are the two crops animated on top of each other to see the difference clearly
This problem gets way worse when shooting with a 50mm.
This type of problem is resolved with certain limitations with Hasselblad True Focus.
You just have to be really careful not to move at all during re composition and to do it slowly enough for the angle (motion) sensor True focus to work.
Also I have seen that any significant vibration like loud music base or a truck going by will kill precision of the motion detector.
Use short focal lengths. True Focus can't measure the smaller angles involved in re composition with longer lenses as precisely. This is
an issue as the depth of field of longer lenses is razor thin.
It will be interesting to see how well this works in the new True Focus II
Here are two shots that would have been problematic with the auto focus limitations of the DF or a Hasselblad without True Focus
due to the focus and re composition that they would require.
One I shot using the outer most focus point and then very little re composition
The other I shot with live view and no re composition.