I hate to say it but weak measurements remind me of homeopathy. It would be nice if someone did an experiment that measured the “same” quantity with a non-weak and a weak measurement, and compared the two results. Or are we to believe that weak measurements allow us to access parameters which non-weak measurements cannot access? But that would be a hidden variables theory, or something that went beyond standard quantum mechanics, wouldn’t it. I don’t have time to think about this any further because I’m working on something else and my time is limited, but I hope others will.
My previous post on Weak Values: