In the spirit of my computer making me look like an idiot.... I opened Dusk, I imported a hair set (a V4 one, to be persnicketty), told it not to auto fit. Then adjusted the hair to fit. Then dropped it onto the Head group. (Where it went flying), pulled it back in place (it actually moved, which it often doesn't) and then selected several poses, where upon....it moved with the character.
I then tried it with a V3 hair and then a Genesis hair, and each time following the above, it stayed with Dusk.....so, I am now a fibber.
I think maybe before I was fitting to Dusk using the Dawn selection or something.
But, no "x". What does that do?
Hair Conversion System works really well. And with the plug ins, you can get hair to fit everyone.