I've asked and asked, but there's such a zoo of eg
Blender rigs, I/O plug-in versions and parameters, that a lot seems down to dumb luck and serendipity.
IIRC, one artist's cute FBX figure port was perfect, impeccably behaved in
Poser. Another figure port, barely a fortnight later, with '
exactly' the same work-flow and parameters, was a wreck. Between,
Blender and/or plug-ins had had teeny-tiny, apparently trivial updates, but the 'wheels came off the bus'...
To that artist's credit, was very upset...
Older versions of FBX, ~6.1, are
usually better than recent 7.4+, but there are honourable exceptions, such as the render above. 'Rigged in Maya'
usually works. I must surmise that has such a high 'seat price' it includes Autodesk's actual SDK, rather than
Blender's open-source reverse-engineered plug-ins.
Though 'Make Human' exports at FBX v6.1 (2016)
seem to work in
Poser, I still cannot get that 'Guards ! Guards !!' freebie trio to network-render with textures.
Okay, I haven't tried for several weeks, but they're on my 'ToDo' list...
Thank you kindly Nik! 
I wonder, if there is a specific application, common amongst those who successfully port well-behaved FBX figures. What is it, that those porters do, that achieves that 
?