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I said it was a statistical approach, didn't I?
Most of those weak measurements, that I know of at least, build on manipulating statistics. And as statistics never will be the measurement you refer to, writing "if you are measuring (any way) position and momentum at the same time then HUP is there as a limit of certainty." then it has nothing to do with HUP as I see it.
What it has to do with is limiting the 'uncertainty' and looked at that way it's interesting.Here is his (free) publications, so far. Aephraim M. Steinberg.