I also don't believe in "weak measurements". The weak "expectation values", or "observables" are expectation values divided by an amplitude. Of what use, or meaning is that?
If one wants to ponder spooky action at a distance, consider the particulars of B meson decay, subsequent to Upsilon(4S) decay. The ϒ(4S) is composed of a bottom quark(b) and an antibottom quark (¯b). It decays as in (d) in the following fig.(and link), where q and ¯q represent up(u), or down(d) quarks and their corresponding antiparticle.
Immediately after the ϒ(4S) decays, the 2 B particles exist as a pair of flavor oscillating particles. Neither particle takes on a definite identity, until one of them decays into a definite B0, or +/-, or it's antiparticle. ie. B0<->¯B0, or B+<->¯B-. Then the other particle can know what it must turn into. The decay of the 2nd B particle begins, with a particular rate corresponding to the decay of one of the 4 modes given in the link. Until one of the particles decays from the flavor oscillation, the other can not know what it must turn into. By the time it happens, the particles are too far apart for light speed comms to have an effect. The 2nd particle knows instantaneously what it must decay into.
This link has some more on that.
I have to get ready for work, I'll look at this tonight, thanks for the link...
Cheers!