This is slightly off-topic (I'm going to be that "this is sorta more a comment than a question..." guy for a second), but I just want to say that Scott's blog is one of my favorite blogs on the whole internet. If only there were more like it!
On a totally unrelated note, I've been trying to wrap my brain around coherent states and the photon-number/phase uncertainty relationship (e.g. http://hitoshi.berkeley.edu/221a/coherentstate.pdf). Do you know of any simple intuitive stories one can tell about that like one can with position-momentum uncertainty? I know this isn't really in your wheelhouse, but people who both understand this stuff and are willing to field questions like this are exceedingly rare (see above paragraph).
(FWIW, and for the benefit of lurkers, this question was prompted by the discussion on this blog post: http://blog.rongarret.info/2018/05/a-quantum-mechanics-puzzl.... Also FWIW, that's my blog.)