As I've stated earlier on the misconception of the HUP, it has very little to nothing to do with the act of measurement, or how accurate our measurement is. It is an INHERENT property of QM and the nature of the so-called particles that we are trying to measure. One can examine the single-slit diffraction to satisfy oneself of this.
A new paper in Nature Physics confirms this further.
This probabilistic nature of particles means there will always be imprecision in any quantum measurement, no matter how little that measurement disturbs the system it is measuring.So there!
"This has nothing to do with error or disturbances due to a measurement process, but is a basic fundamental property that every quantum mechanical particle has," Sulyok told LiveScience. "In order to describe the basic uncertainty together with measurement errors and disturbances, both particle and measurement device in a successive measurement have to be treated in the framework of quantum theory."
I'll post the exact reference to this paper later today.
Edit: exact reference: J. Erhart et al., Nature Physics Online doi:10.1038/nphys2194.